85804712562240 has 1120 divisors, whose sum is σ = 357199446599424. Its totient is φ = 19142367068160.

The previous prime is 85804712562193. The next prime is 85804712562383. The reversal of 85804712562240 is 4226521740858.

85804712562240 is a `hidden beast` number, since 8 + 5 + 8 + 0 + 4 + 7 + 1 + 2 + 5 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct 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 159 ways as a sum of consecutive naturals, for example, 13583139562 + ... + 13583145878.

Almost surely, 2^{85804712562240} is an apocalyptic number.

85804712562240 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 85804712562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178599723299712).

85804712562240 is an abundant number, since it is smaller than the sum of its proper divisors (271394734037184).

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

85804712562240 is a wasteful number, since it uses less digits than its factorization.

85804712562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 85804712562240 in words is "eighty-five trillion, eight hundred four billion, seven hundred twelve million, five hundred sixty-two thousand, two hundred forty".