85056998400 has 1188 divisors, whose sum is σ = 350217152376. Its totient is φ = 20437401600.

The previous prime is 85056998393. The next prime is 85056998423. The reversal of 85056998400 is 489965058.

It is a happy number.

85056998400 is a `hidden beast` number, since 8 + 505 + 6 + 9 + 98 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1188).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 752716744 + ... + 752716856.

Almost surely, 2^85056998400 is an apocalyptic number.

85056998400 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 85056998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175108576188).

85056998400 is an abundant number, since it is smaller than the sum of its proper divisors (265160153976).

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

85056998400 is a wasteful number, since it uses less digits than its factorization.

85056998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 85056998400 in words is "eighty-five billion, fifty-six million, nine hundred ninety-eight thousand, four hundred".