99776629260000 has 4320 divisors, whose sum is σ = 478814310374400. Its totient is φ = 19427143680000.

The previous prime is 99776629259941. The next prime is 99776629260017. The reversal of 99776629260000 is 6292667799.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99776629260000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 208301939761 + ... + 208301940239.

It is an arithmetic number, because the mean of its divisors is an integer number (110836645920).

Almost surely, 2^{99776629260000} is an apocalyptic number.

99776629260000 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 99776629260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239407155187200).

99776629260000 is an abundant number, since it is smaller than the sum of its proper divisors (379037681114400).

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

99776629260000 is a wasteful number, since it uses less digits than its factorization.

99776629260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 99776629260000 in words is "ninety-nine trillion, seven hundred seventy-six billion, six hundred twenty-nine million, two hundred sixty thousand".