2077892977536 has 256 divisors, whose sum is σ = 6409575144000. Its totient is φ = 661849767936.

The previous prime is 2077892977513. The next prime is 2077892977549. The reversal of 2077892977536 is 6357792987702.

2077892977536 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 89 + 2 + 9 + 7 + 7 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9614860 + ... + 9828596.

Almost surely, 2^{2077892977536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077892977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204787572000).

2077892977536 is an abundant number, since it is smaller than the sum of its proper divisors (4331682166464).

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

2077892977536 is a wasteful number, since it uses less digits than its factorization.

2077892977536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213886 (or 213868 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 2077892977536 in words is "two trillion, seventy-seven billion, eight hundred ninety-two million, nine hundred seventy-seven thousand, five hundred thirty-six".