99793046545920 has 5120 divisors, whose sum is σ = 475323577344000. Its totient is φ = 19620064788480.

The previous prime is 99793046545883. The next prime is 99793046545957. The reversal of 99793046545920 is 2954564039799.

99793046545920 is a `hidden beast` number, since 9 + 9 + 7 + 9 + 30 + 46 + 545 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99793046545883) and next prime (99793046545957).

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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1635951582690 + ... + 1635951582750.

It is an arithmetic number, because the mean of its divisors is an integer number (92836636200).

Almost surely, 2^{99793046545920} is an apocalyptic number.

99793046545920 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 99793046545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237661788672000).

99793046545920 is an abundant number, since it is smaller than the sum of its proper divisors (375530530798080).

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

99793046545920 is an frugal number, since it uses more digits than its factorization.

99793046545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 99793046545920 in words is "ninety-nine trillion, seven hundred ninety-three billion, forty-six million, five hundred forty-five thousand, nine hundred twenty".