97290972979200 has 8064 divisors, whose sum is σ = 510461608366080. Its totient is φ = 18059231232000.

The previous prime is 97290972979181. The next prime is 97290972979241. The reversal of 97290972979200 is 297927909279.

It is a tau number, because it is divible by the number of its divisors (8064).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3138418483185 + ... + 3138418483215.

It is an arithmetic number, because the mean of its divisors is an integer number (63301290720).

Almost surely, 2^{97290972979200} is an apocalyptic number.

97290972979200 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 97290972979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255230804183040).

97290972979200 is an abundant number, since it is smaller than the sum of its proper divisors (413170635386880).

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

97290972979200 is a wasteful number, since it uses less digits than its factorization.

97290972979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 162030456, while the sum is 72.

The spelling of 97290972979200 in words is "ninety-seven trillion, two hundred ninety billion, nine hundred seventy-two million, nine hundred seventy-nine thousand, two hundred".