99520802979840 has 2280 divisors, whose sum is σ = 401752890502656. Its totient is φ = 23543886643200.

The previous prime is 99520802979809. The next prime is 99520802979869. The reversal of 99520802979840 is 4897920802599.

99520802979840 is a `hidden beast` number, since 9 + 9 + 5 + 208 + 0 + 297 + 98 + 40 = 666.

It is a super-4 number, since 4×99520802979840⁴ (a number of 57 digits) contains 4444 as substring.

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 119 ways as a sum of consecutive naturals, for example, 783628369857 + ... + 783628369983.

Almost surely, 2^{99520802979840} is an apocalyptic number.

99520802979840 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 99520802979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200876445251328).

99520802979840 is an abundant number, since it is smaller than the sum of its proper divisors (302232087522816).

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

99520802979840 is an equidigital number, since it uses as much as digits as its factorization.

99520802979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 99520802979840 in words is "ninety-nine trillion, five hundred twenty billion, eight hundred two million, nine hundred seventy-nine thousand, eight hundred forty".