97578552960 has 768 divisors, whose sum is σ = 425724336000. Its totient is φ = 20988592128.

The previous prime is 97578552937. The next prime is 97578552979. The reversal of 97578552960 is 6925587579.

97578552960 is a `hidden beast` number, since 9 + 7 + 5 + 78 + 552 + 9 + 6 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 14390851 + ... + 14397629.

Almost surely, 2^97578552960 is an apocalyptic number.

97578552960 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 97578552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212862168000).

97578552960 is an abundant number, since it is smaller than the sum of its proper divisors (328145783040).

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

97578552960 is a wasteful number, since it uses less digits than its factorization.

97578552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 97578552960 in words is "ninety-seven billion, five hundred seventy-eight million, five hundred fifty-two thousand, nine hundred sixty".