20152115598384 has 480 divisors, whose sum is σ = 73748202590720. Its totient is φ = 5156185351680.

The previous prime is 20152115598361. The next prime is 20152115598401. The reversal of 20152115598384 is 48389551125102.

It is a happy number.

20152115598384 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 2 + 1 + 1 + 559 + 8 + 3 + 84 = 666.

It is a super-2 number, since 2×20152115598384² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20152115598384.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24104562 + ... + 24926574.

Almost surely, 2^{20152115598384} is an apocalyptic number.

20152115598384 is a gapful number since it is divisible by the number (24) 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 20152115598384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36874101295360).

20152115598384 is an abundant number, since it is smaller than the sum of its proper divisors (53596086992336).

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

20152115598384 is a wasteful number, since it uses less digits than its factorization.

20152115598384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822126 (or 822103 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 20152115598384 in words is "twenty trillion, one hundred fifty-two billion, one hundred fifteen million, five hundred ninety-eight thousand, three hundred eighty-four".