77053257514560 has 224 divisors, whose sum is σ = 259291701400320. Its totient is φ = 19319686299648.

The previous prime is 77053257514553. The next prime is 77053257514631. The reversal of 77053257514560 is 6541575235077.

It is a happy number.

It is a super-2 number, since 2×77053257514560² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77053257514560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14127237 + ... + 18806523.

Almost surely, 2^{77053257514560} 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 77053257514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129645850700160).

77053257514560 is an abundant number, since it is smaller than the sum of its proper divisors (182238443885760).

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

77053257514560 is a wasteful number, since it uses less digits than its factorization.

77053257514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680333 (or 4680323 counting only the distinct ones).

The product of its (nonzero) digits is 30870000, while the sum is 57.

The spelling of 77053257514560 in words is "seventy-seven trillion, fifty-three billion, two hundred fifty-seven million, five hundred fourteen thousand, five hundred sixty".