97370582400 has 1152 divisors, whose sum is σ = 436308949440. Its totient is φ = 20127744000.

The previous prime is 97370582377. The next prime is 97370582437. The reversal of 97370582400 is 428507379.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 138902050 + ... + 138902750.

Almost surely, 2^97370582400 is an apocalyptic number.

97370582400 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 97370582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218154474720).

97370582400 is an abundant number, since it is smaller than the sum of its proper divisors (338938367040).

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

97370582400 is a wasteful number, since it uses less digits than its factorization.

97370582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 97370582400 in words is "ninety-seven billion, three hundred seventy million, five hundred eighty-two thousand, four hundred".