97272204886400 has 288 divisors, whose sum is σ = 248969829323280. Its totient is φ = 37551286886400.

The previous prime is 97272204886379. The next prime is 97272204886421. The reversal of 97272204886400 is 468840227279.

97272204886400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (97272204886379) and next prime (97272204886421).

It is a super-3 number, since 3×97272204886400³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97272204886400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7850224205 + ... + 7850236595.

Almost surely, 2^{97272204886400} 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 97272204886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124484914661640).

97272204886400 is an abundant number, since it is smaller than the sum of its proper divisors (151697624436880).

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

97272204886400 is a wasteful number, since it uses less digits than its factorization.

97272204886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15390 (or 15344 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 59.

The spelling of 97272204886400 in words is "ninety-seven trillion, two hundred seventy-two billion, two hundred four million, eight hundred eighty-six thousand, four hundred".