97051813867008 has 1600 divisors, whose sum is σ = 396878798131200. Its totient is φ = 23268678451200.

The previous prime is 97051813866961. The next prime is 97051813867009. The reversal of 97051813867008 is 80076831815079.

97051813867008 is a `hidden beast` number, since 9 + 7 + 0 + 5 + 181 + 386 + 70 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97051813867009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2034136273 + ... + 2034183983.

It is an arithmetic number, because the mean of its divisors is an integer number (248049248832).

Almost surely, 2^{97051813867008} is an apocalyptic number.

97051813867008 is a gapful number since it is divisible by the number (98) 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 97051813867008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198439399065600).

97051813867008 is an abundant number, since it is smaller than the sum of its proper divisors (299826984264192).

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

97051813867008 is a wasteful number, since it uses less digits than its factorization.

97051813867008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47786 (or 47747 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 97051813867008 in words is "ninety-seven trillion, fifty-one billion, eight hundred thirteen million, eight hundred sixty-seven thousand, eight".