97659172800 has 840 divisors, whose sum is σ = 412870229376. Its totient is φ = 22271708160.

The previous prime is 97659172783. The next prime is 97659172813. The reversal of 97659172800 is 827195679.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 220449379 + ... + 220449821.

Almost surely, 2^97659172800 is an apocalyptic number.

97659172800 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 97659172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206435114688).

97659172800 is an abundant number, since it is smaller than the sum of its proper divisors (315211056576).

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

97659172800 is an frugal number, since it uses more digits than its factorization.

97659172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 97659172800 in words is "ninety-seven billion, six hundred fifty-nine million, one hundred seventy-two thousand, eight hundred".