85537900800 has 648 divisors, whose sum is σ = 344849699040. Its totient is φ = 20731392000.

The previous prime is 85537900793. The next prime is 85537900807. The reversal of 85537900800 is 800973558.

85537900800 is a `hidden beast` number, since 8 + 553 + 7 + 90 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85537900793) and next prime (85537900807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85537900807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20906755 + ... + 20910845.

Almost surely, 2^85537900800 is an apocalyptic number.

85537900800 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 85537900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172424849520).

85537900800 is an abundant number, since it is smaller than the sum of its proper divisors (259311798240).

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

85537900800 is a wasteful number, since it uses less digits than its factorization.

85537900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 85537900800 in words is "eighty-five billion, five hundred thirty-seven million, nine hundred thousand, eight hundred".