20152785744000 has 2560 divisors, whose sum is σ = 93039785879040. Its totient is φ = 4209640243200.

The previous prime is 20152785743971. The next prime is 20152785744017. The reversal of 20152785744000 is 44758725102.

20152785744000 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 2 + 78 + 574 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×20152785744000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12619151202 + ... + 12619152798.

It is an arithmetic number, because the mean of its divisors is an integer number (36343666359).

Almost surely, 2^{20152785744000} is an apocalyptic number.

20152785744000 is a gapful number since it is divisible by the number (20) 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 20152785744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46519892939520).

20152785744000 is an abundant number, since it is smaller than the sum of its proper divisors (72887000135040).

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

20152785744000 is a wasteful number, since it uses less digits than its factorization.

20152785744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 20152785744000 in words is "twenty trillion, one hundred fifty-two billion, seven hundred eighty-five million, seven hundred forty-four thousand".