85904006400 has 648 divisors, whose sum is σ = 326039715456. Its totient is φ = 21532262400.

The previous prime is 85904006387. The next prime is 85904006437. The reversal of 85904006400 is 460040958.

85904006400 is a `hidden beast` number, since 8 + 5 + 9 + 0 + 4 + 0 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80812269 + ... + 80813331.

Almost surely, 2^85904006400 is an apocalyptic number.

85904006400 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 85904006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163019857728).

85904006400 is an abundant number, since it is smaller than the sum of its proper divisors (240135709056).

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

85904006400 is a wasteful number, since it uses less digits than its factorization.

85904006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 85904006400 in words is "eighty-five billion, nine hundred four million, six thousand, four hundred".