97147008000 has 792 divisors, whose sum is σ = 407468270664. Its totient is φ = 22192128000.

The previous prime is 97147007959. The next prime is 97147008001. The reversal of 97147008000 is 80074179.

It can be written as a sum of positive squares in 4 ways, for example, as 759112704 + 96387895296 = 27552^2 + 310464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97147008001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56447140 + ... + 56448860.

Almost surely, 2^97147008000 is an apocalyptic number.

97147008000 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 97147008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203734135332).

97147008000 is an abundant number, since it is smaller than the sum of its proper divisors (310321262664).

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

97147008000 is a wasteful number, since it uses less digits than its factorization.

97147008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 97147008000 in words is "ninety-seven billion, one hundred forty-seven million, eight thousand".