97226986348800 has 3240 divisors, whose sum is σ = 460912017104000. Its totient is φ = 20198539468800.

The previous prime is 97226986348787. The next prime is 97226986348937. The reversal of 97226986348800 is 884368962279.

97226986348800 is a `hidden beast` number, since 9 + 7 + 2 + 2 + 69 + 86 + 3 + 488 + 0 + 0 = 666.

97226986348800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×97226986348800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 21515152941 + ... + 21515157459.

Almost surely, 2^{97226986348800} is an apocalyptic number.

97226986348800 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 97226986348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230456008552000).

97226986348800 is an abundant number, since it is smaller than the sum of its proper divisors (363685030755200).

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

97226986348800 is a wasteful number, since it uses less digits than its factorization.

97226986348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 97226986348800 in words is "ninety-seven trillion, two hundred twenty-six billion, nine hundred eighty-six million, three hundred forty-eight thousand, eight hundred".