77998972142160 has 200 divisors, whose sum is σ = 280243434109320. Its totient is φ = 20082493928448.

The previous prime is 77998972142149. The next prime is 77998972142171. The reversal of 77998972142160 is 6124127989977.

77998972142160 is a `hidden beast` number, since 7 + 7 + 9 + 98 + 97 + 21 + 421 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77998972142149) and next prime (77998972142171).

It can be written as a sum of positive squares in 4 ways, for example, as 2905170255936 + 75093801886224 = 1704456^2 + 8665668^2 .

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 39 ways as a sum of consecutive naturals, for example, 207344467 + ... + 207720306.

Almost surely, 2^{77998972142160} is an apocalyptic number.

It is an amenable number.

77998972142160 is an abundant number, since it is smaller than the sum of its proper divisors (202244461967160).

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

77998972142160 is a wasteful number, since it uses less digits than its factorization.

77998972142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415064827 (or 415064812 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 72.

The spelling of 77998972142160 in words is "seventy-seven trillion, nine hundred ninety-eight billion, nine hundred seventy-two million, one hundred forty-two thousand, one hundred sixty".