97631595000 has 640 divisors, whose sum is σ = 377879040000. Its totient is φ = 23203584000.

The previous prime is 97631594999. The next prime is 97631595007. The reversal of 97631595000 is 59513679.

97631595000 is a `hidden beast` number, since 9 + 7 + 631 + 5 + 9 + 5 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97631595007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43603881 + ... + 43606119.

It is an arithmetic number, because the mean of its divisors is an integer number (590436000).

Almost surely, 2^97631595000 is an apocalyptic number.

97631595000 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 97631595000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188939520000).

97631595000 is an abundant number, since it is smaller than the sum of its proper divisors (280247445000).

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

97631595000 is a wasteful number, since it uses less digits than its factorization.

97631595000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 97631595000 in words is "ninety-seven billion, six hundred thirty-one million, five hundred ninety-five thousand".