99706564077120 has 3360 divisors, whose sum is σ = 490087696057344. Its totient is φ = 18715112570880.

The previous prime is 99706564077097. The next prime is 99706564077137. The reversal of 99706564077120 is 2177046560799.

99706564077120 is a `hidden beast` number, since 9 + 97 + 0 + 6 + 56 + 407 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13414036924 + ... + 13414044356.

Almost surely, 2^{99706564077120} is an apocalyptic number.

99706564077120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99706564077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245043848028672).

99706564077120 is an abundant number, since it is smaller than the sum of its proper divisors (390381131980224).

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

99706564077120 is a wasteful number, since it uses less digits than its factorization.

99706564077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7551 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 99706564077120 in words is "ninety-nine trillion, seven hundred six billion, five hundred sixty-four million, seventy-seven thousand, one hundred twenty".