2007755892162 has 48 divisors (see below), whose sum is σ = 4493073132288. Its totient is φ = 647286988320.

The previous prime is 2007755892133. The next prime is 2007755892167. The reversal of 2007755892162 is 2612985577002.

2007755892162 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 7 + 558 + 9 + 21 + 62 = 666.

It is a super-2 number, since 2×2007755892162² (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 junction number, because it is equal to n+sod(n) for n = 2007755892099 and 2007755892108.

It is not an unprimeable number, because it can be changed into a prime (2007755892167) 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 23 ways as a sum of consecutive naturals, for example, 82713 + ... + 2005580.

It is an arithmetic number, because the mean of its divisors is an integer number (93605690256).

Almost surely, 2^{2007755892162} is an apocalyptic number.

2007755892162 is an abundant number, since it is smaller than the sum of its proper divisors (2485317240126).

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

2007755892162 is a wasteful number, since it uses less digits than its factorization.

2007755892162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090055 (or 2090052 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 2007755892162 in words is "two trillion, seven billion, seven hundred fifty-five million, eight hundred ninety-two thousand, one hundred sixty-two".