97945061965920 has 1152 divisors, whose sum is σ = 378501722726400. Its totient is φ = 23019765829632.

The previous prime is 97945061965831. The next prime is 97945061965937. The reversal of 97945061965920 is 2956916054979.

97945061965920 is a `hidden beast` number, since 9 + 7 + 9 + 4 + 506 + 1 + 96 + 5 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62504824977 + ... + 62504826543.

It is an arithmetic number, because the mean of its divisors is an integer number (328560523200).

Almost surely, 2^{97945061965920} is an apocalyptic number.

97945061965920 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 97945061965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189250861363200).

97945061965920 is an abundant number, since it is smaller than the sum of its proper divisors (280556660760480).

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

97945061965920 is a wasteful number, since it uses less digits than its factorization.

97945061965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 97945061965920 in words is "ninety-seven trillion, nine hundred forty-five billion, sixty-one million, nine hundred sixty-five thousand, nine hundred twenty".