97952087376 has 320 divisors, whose sum is σ = 336555959040. Its totient is φ = 26881320960.

The previous prime is 97952087333. The next prime is 97952087377. The reversal of 97952087376 is 67378025979.

97952087376 is a `hidden beast` number, since 9 + 79 + 520 + 8 + 7 + 37 + 6 = 666.

It is a super-2 number, since 2×97952087376² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97952087377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259170 + ... + 3289086.

It is an arithmetic number, because the mean of its divisors is an integer number (1051737372).

Almost surely, 2^97952087376 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 97952087376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168277979520).

97952087376 is an abundant number, since it is smaller than the sum of its proper divisors (238603871664).

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

97952087376 is a wasteful number, since it uses less digits than its factorization.

97952087376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30011 (or 29999 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 97952087376 in words is "ninety-seven billion, nine hundred fifty-two million, eighty-seven thousand, three hundred seventy-six".