97918039825200 has 2520 divisors, whose sum is σ = 431906386317312. Its totient is φ = 20882867281920.

The previous prime is 97918039825159. The next prime is 97918039825219. The reversal of 97918039825200 is 252893081979.

97918039825200 is a `hidden beast` number, since 9 + 7 + 9 + 18 + 0 + 3 + 98 + 2 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 503 ways as a sum of consecutive naturals, for example, 74918162947 + ... + 74918164253.

Almost surely, 2^{97918039825200} is an apocalyptic number.

97918039825200 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 97918039825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215953193158656).

97918039825200 is an abundant number, since it is smaller than the sum of its proper divisors (333988346492112).

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

97918039825200 is a wasteful number, since it uses less digits than its factorization.

97918039825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 97918039825200 in words is "ninety-seven trillion, nine hundred eighteen billion, thirty-nine million, eight hundred twenty-five thousand, two hundred".