97929792000 has 960 divisors, whose sum is σ = 381352761504. Its totient is φ = 24064819200.

The previous prime is 97929791969. The next prime is 97929792041. The reversal of 97929792000 is 29792979.

It can be written as a sum of positive squares in 16 ways, for example, as 15872256 + 97913919744 = 3984^2 + 312912^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×97929792000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 714815932 + ... + 714816068.

Almost surely, 2^97929792000 is an apocalyptic number.

97929792000 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 97929792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190676380752).

97929792000 is an abundant number, since it is smaller than the sum of its proper divisors (283422969504).

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

97929792000 is a wasteful number, since it uses less digits than its factorization.

97929792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

It can be divided in two parts, 9792979 and 2000, that added together give a palindrome (9794979).

The spelling of 97929792000 in words is "ninety-seven billion, nine hundred twenty-nine million, seven hundred ninety-two thousand".