97251426800 has 180 divisors, whose sum is σ = 265106657088. Its totient is φ = 34222848000.

The previous prime is 97251426787. The next prime is 97251426803. The reversal of 97251426800 is 862415279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97251426803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1467992 + ... + 1532808.

Almost surely, 2^97251426800 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 97251426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132553328544).

97251426800 is an abundant number, since it is smaller than the sum of its proper divisors (167855230288).

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

97251426800 is a wasteful number, since it uses less digits than its factorization.

97251426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64888 (or 64866 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 97251426800 in words is "ninety-seven billion, two hundred fifty-one million, four hundred twenty-six thousand, eight hundred".