77172136107552 has 144 divisors (see below), whose sum is σ = 219751369699680. Its totient is φ = 25689698850816.

The previous prime is 77172136107527. The next prime is 77172136107559. The reversal of 77172136107552 is 25570163127177.

It is a happy number.

77172136107552 is a `hidden beast` number, since 7 + 7 + 1 + 7 + 2 + 13 + 610 + 7 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×77172136107552² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77172136107559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650823443 + ... + 1650870189.

It is an arithmetic number, because the mean of its divisors is an integer number (1526051178470).

Almost surely, 2^{77172136107552} is an apocalyptic number.

77172136107552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77172136107552 is an abundant number, since it is smaller than the sum of its proper divisors (142579233592128).

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

77172136107552 is a wasteful number, since it uses less digits than its factorization.

77172136107552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54295 (or 54284 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 54.

The spelling of 77172136107552 in words is "seventy-seven trillion, one hundred seventy-two billion, one hundred thirty-six million, one hundred seven thousand, five hundred fifty-two".