97087585520640 has 2640 divisors, whose sum is σ = 388164934241280. Its totient is φ = 20668701081600.

The previous prime is 97087585520621. The next prime is 97087585520657. The reversal of 97087585520640 is 4602558578079.

97087585520640 is digitally balanced in base 3, 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 (2640).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1645552296931 + ... + 1645552296989.

Almost surely, 2^{97087585520640} 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 97087585520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194082467120640).

97087585520640 is an abundant number, since it is smaller than the sum of its proper divisors (291077348720640).

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

97087585520640 is a wasteful number, since it uses less digits than its factorization.

97087585520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 66.

The spelling of 97087585520640 in words is "ninety-seven trillion, eighty-seven billion, five hundred eighty-five million, five hundred twenty thousand, six hundred forty".