85053629795904 has 336 divisors, whose sum is σ = 304152251719680. Its totient is φ = 22076938091520.

The previous prime is 85053629795903. The next prime is 85053629795921. The reversal of 85053629795904 is 40959792635058.

It is a happy number.

85053629795904 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 3 + 6 + 29 + 7 + 9 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (85053629795903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65127457 + ... + 66420575.

It is an arithmetic number, because the mean of its divisors is an integer number (905215034880).

Almost surely, 2^{85053629795904} is an apocalyptic number.

85053629795904 is a gapful number since it is divisible by the number (84) 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 85053629795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152076125859840).

85053629795904 is an abundant number, since it is smaller than the sum of its proper divisors (219098621923776).

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

85053629795904 is a wasteful number, since it uses less digits than its factorization.

85053629795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294638 (or 1294625 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 85053629795904 in words is "eighty-five trillion, fifty-three billion, six hundred twenty-nine million, seven hundred ninety-five thousand, nine hundred four".