97796248000 has 224 divisors, whose sum is σ = 264714630336. Its totient is φ = 35494400000.

The previous prime is 97796247959. The next prime is 97796248003. The reversal of 97796248000 is 84269779.

It is a super-2 number, since 2×97796248000² (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 (97796248003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82807410 + ... + 82808590.

Almost surely, 2^97796248000 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 97796248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132357315168).

97796248000 is an abundant number, since it is smaller than the sum of its proper divisors (166918382336).

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

97796248000 is a wasteful number, since it uses less digits than its factorization.

97796248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 97796248000 in words is "ninety-seven billion, seven hundred ninety-six million, two hundred forty-eight thousand".