97812979152 has 960 divisors, whose sum is σ = 347058929664. Its totient is φ = 23503011840.

The previous prime is 97812979151. The next prime is 97812979171. The reversal of 97812979152 is 25197921879.

It is a happy number.

Its product of digits (5715360) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97812979151) 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 191 ways as a sum of consecutive naturals, for example, 1339903788 + ... + 1339903860.

Almost surely, 2^97812979152 is an apocalyptic number.

97812979152 is a gapful number since it is divisible by the number (92) 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 97812979152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173529464832).

97812979152 is an abundant number, since it is smaller than the sum of its proper divisors (249245950512).

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

97812979152 is a wasteful number, since it uses less digits than its factorization.

97812979152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 60.

The spelling of 97812979152 in words is "ninety-seven billion, eight hundred twelve million, nine hundred seventy-nine thousand, one hundred fifty-two".