97251419865600 has 8640 divisors, whose sum is σ = 531543632780160. Its totient is φ = 16587738316800.

The previous prime is 97251419865571. The next prime is 97251419865647. The reversal of 97251419865600 is 656891415279.

97251419865600 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 1 + 4 + 19 + 8 + 6 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 260727667014 + ... + 260727667386.

It is an arithmetic number, because the mean of its divisors is an integer number (61521253794).

Almost surely, 2^{97251419865600} is an apocalyptic number.

97251419865600 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 97251419865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265771816390080).

97251419865600 is an abundant number, since it is smaller than the sum of its proper divisors (434292212914560).

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

97251419865600 is a wasteful number, since it uses less digits than its factorization.

97251419865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 97251419865600 in words is "ninety-seven trillion, two hundred fifty-one billion, four hundred nineteen million, eight hundred sixty-five thousand, six hundred".