97286112000 has 1728 divisors, whose sum is σ = 451266536448. Its totient is φ = 19537920000.

The previous prime is 97286111983. The next prime is 97286112029. The reversal of 97286112000 is 21168279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 909215947 + ... + 909216053.

It is an arithmetic number, because the mean of its divisors is an integer number (261149616).

Almost surely, 2^97286112000 is an apocalyptic number.

97286112000 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 97286112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225633268224).

97286112000 is an abundant number, since it is smaller than the sum of its proper divisors (353980424448).

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

97286112000 is a wasteful number, since it uses less digits than its factorization.

97286112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 97286112000 in words is "ninety-seven billion, two hundred eighty-six million, one hundred twelve thousand".