97601590632000 has 1792 divisors, whose sum is σ = 404330650214400. Its totient is φ = 20195964518400.

The previous prime is 97601590631957. The next prime is 97601590632053. The reversal of 97601590632000 is 23609510679.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88008647446 + ... + 88008648554.

It is an arithmetic number, because the mean of its divisors is an integer number (225630943200).

Almost surely, 2^{97601590632000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97601590632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202165325107200).

97601590632000 is an abundant number, since it is smaller than the sum of its proper divisors (306729059582400).

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

97601590632000 is a wasteful number, since it uses less digits than its factorization.

97601590632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 97601590632000 in words is "ninety-seven trillion, six hundred one billion, five hundred ninety million, six hundred thirty-two thousand".