97670207877120 has 1040 divisors, whose sum is σ = 356130127541760. Its totient is φ = 25707315658752.

The previous prime is 97670207877113. The next prime is 97670207877131. The reversal of 97670207877120 is 2177870207679.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31845517827 + ... + 31845520893.

It is an arithmetic number, because the mean of its divisors is an integer number (342432814944).

Almost surely, 2^{97670207877120} is an apocalyptic number.

97670207877120 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 97670207877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178065063770880).

97670207877120 is an abundant number, since it is smaller than the sum of its proper divisors (258459919664640).

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

97670207877120 is an frugal number, since it uses more digits than its factorization.

97670207877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 29042496, while the sum is 63.

The spelling of 97670207877120 in words is "ninety-seven trillion, six hundred seventy billion, two hundred seven million, eight hundred seventy-seven thousand, one hundred twenty".