99775705559040 has 3744 divisors, whose sum is σ = 440502281856000. Its totient is φ = 20757860057088.

The previous prime is 99775705559039. The next prime is 99775705559093. The reversal of 99775705559040 is 4095550757799.

99775705559040 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 570 + 5 + 5 + 5 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 99775705559040.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 717810831291 + ... + 717810831429.

It is an arithmetic number, because the mean of its divisors is an integer number (117655524000).

Almost surely, 2^{99775705559040} is an apocalyptic number.

99775705559040 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 99775705559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220251140928000).

99775705559040 is an abundant number, since it is smaller than the sum of its proper divisors (340726576296960).

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

99775705559040 is a wasteful number, since it uses less digits than its factorization.

99775705559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 625117500, while the sum is 72.

The spelling of 99775705559040 in words is "ninety-nine trillion, seven hundred seventy-five billion, seven hundred five million, five hundred fifty-nine thousand, forty".