20152393567488 has 2304 divisors, whose sum is σ = 77757684480000. Its totient is φ = 5143202168832.

The previous prime is 20152393567457. The next prime is 20152393567517. The reversal of 20152393567488 is 88476539325102.

20152393567488 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 2 + 3 + 93 + 5 + 67 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×20152393567488² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 276060185820 + ... + 276060185892.

It is an arithmetic number, because the mean of its divisors is an integer number (33748995000).

It is a 1-persistent number, because it is pandigital, but 2⋅20152393567488 = 40304787134976 is not.

Almost surely, 2^{20152393567488} is an apocalyptic number.

20152393567488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20152393567488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38878842240000).

20152393567488 is an abundant number, since it is smaller than the sum of its proper divisors (57605290912512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20152393567488 is an frugal number, since it uses more digits than its factorization.

20152393567488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 20152393567488 in words is "twenty trillion, one hundred fifty-two billion, three hundred ninety-three million, five hundred sixty-seven thousand, four hundred eighty-eight".