97981228800 has 2160 divisors, whose sum is σ = 467137656832. Its totient is φ = 19707494400.

The previous prime is 97981228799. The next prime is 97981228811. The reversal of 97981228800 is 882218979.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1462406367 + ... + 1462406433.

Almost surely, 2^97981228800 is an apocalyptic number.

97981228800 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 97981228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233568828416).

97981228800 is an abundant number, since it is smaller than the sum of its proper divisors (369156428032).

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

97981228800 is a wasteful number, since it uses less digits than its factorization.

97981228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 97981228800 in words is "ninety-seven billion, nine hundred eighty-one million, two hundred twenty-eight thousand, eight hundred".