97449039192960 has 1536 divisors, whose sum is σ = 437025905971200. Its totient is φ = 19445545304064.

The previous prime is 97449039192881. The next prime is 97449039192991. The reversal of 97449039192960 is 6929193094479.

It is a happy number.

97449039192960 is a `hidden beast` number, since 9 + 7 + 4 + 4 + 90 + 391 + 92 + 9 + 60 = 666.

It is a super-2 number, since 2×97449039192960² (a number of 29 digits) contains 22 as substring.

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, 1072910109 + ... + 1073000931.

It is an arithmetic number, because the mean of its divisors is an integer number (284522074200).

Almost surely, 2^{97449039192960} is an apocalyptic number.

97449039192960 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 97449039192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218512952985600).

97449039192960 is an abundant number, since it is smaller than the sum of its proper divisors (339576866778240).

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

97449039192960 is a wasteful number, since it uses less digits than its factorization.

97449039192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90980 (or 90965 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 97449039192960 in words is "ninety-seven trillion, four hundred forty-nine billion, thirty-nine million, one hundred ninety-two thousand, nine hundred sixty".