98954580700800 has 384 divisors, whose sum is σ = 395068670683200. Its totient is φ = 23988989030400.

The previous prime is 98954580700799. The next prime is 98954580700831. The reversal of 98954580700800 is 800708545989.

It is a happy number.

98954580700800 is a `hidden beast` number, since 9 + 8 + 9 + 545 + 8 + 0 + 7 + 0 + 0 + 80 + 0 = 666.

98954580700800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×98954580700800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51109039 + ... + 53009838.

Almost surely, 2^{98954580700800} is an apocalyptic number.

98954580700800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98954580700800 is an abundant number, since it is smaller than the sum of its proper divisors (296114089982400).

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

98954580700800 is a wasteful number, since it uses less digits than its factorization.

98954580700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104118921 (or 104118898 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 98954580700800 in words is "ninety-eight trillion, nine hundred fifty-four billion, five hundred eighty million, seven hundred thousand, eight hundred".