98053773116400 has 180 divisors, whose sum is σ = 355068344515248. Its totient is φ = 25010817469440.

The previous prime is 98053773116393. The next prime is 98053773116417. The reversal of 98053773116400 is 461137735089.

98053773116400 is a `hidden beast` number, since 9 + 8 + 0 + 53 + 7 + 73 + 116 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×98053773116400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592029357 + ... + 592194956.

Almost surely, 2^{98053773116400} is an apocalyptic number.

98053773116400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98053773116400 is an abundant number, since it is smaller than the sum of its proper divisors (257014571398848).

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

98053773116400 is a wasteful number, since it uses less digits than its factorization.

98053773116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184224360 (or 1184224346 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 98053773116400 in words is "ninety-eight trillion, fifty-three billion, seven hundred seventy-three million, one hundred sixteen thousand, four hundred".