85638948675840 has 1152 divisors, whose sum is σ = 350448215040000. Its totient is φ = 19398372065280.

The previous prime is 85638948675817. The next prime is 85638948675887. The reversal of 85638948675840 is 4857684983658.

85638948675840 is a `hidden beast` number, since 8 + 5 + 6 + 3 + 89 + 486 + 7 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 85638948675840.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31152762786 + ... + 31152765534.

It is an arithmetic number, because the mean of its divisors is an integer number (304208520000).

Almost surely, 2^{85638948675840} is an apocalyptic number.

85638948675840 is a gapful number since it is divisible by the number (80) 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 85638948675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175224107520000).

85638948675840 is an abundant number, since it is smaller than the sum of its proper divisors (264809266364160).

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

85638948675840 is a wasteful number, since it uses less digits than its factorization.

85638948675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 11147673600, while the sum is 81.

The spelling of 85638948675840 in words is "eighty-five trillion, six hundred thirty-eight billion, nine hundred forty-eight million, six hundred seventy-five thousand, eight hundred forty".