2153790973512 has 32 divisors (see below), whose sum is σ = 5982752704800. Its totient is φ = 717930324432.

The previous prime is 2153790973493. The next prime is 2153790973517.

It is a happy number.

2153790973512 is a `hidden beast` number, since 2 + 1 + 5 + 37 + 9 + 0 + 97 + 3 + 512 = 666.

2153790973512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2153790973512² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2153790973517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4985627038 + ... + 4985627469.

It is an arithmetic number, because the mean of its divisors is an integer number (186961022025).

Almost surely, 2^{2153790973512} is an apocalyptic number.

It is an amenable number.

2153790973512 is an abundant number, since it is smaller than the sum of its proper divisors (3828961731288).

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

2153790973512 is a wasteful number, since it uses less digits than its factorization.

2153790973512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9971254522 (or 9971254512 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 2153790973512 in words is "two trillion, one hundred fifty-three billion, seven hundred ninety million, nine hundred seventy-three thousand, five hundred twelve".