85791363840 has 1296 divisors, whose sum is σ = 386514823968. Its totient is φ = 18059231232.

The previous prime is 85791363811. The next prime is 85791363857. The reversal of 85791363840 is 4836319758.

85791363840 is a `hidden beast` number, since 8 + 579 + 1 + 3 + 63 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 198132264 + ... + 198132696.

Almost surely, 2^85791363840 is an apocalyptic number.

85791363840 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 85791363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193257411984).

85791363840 is an abundant number, since it is smaller than the sum of its proper divisors (300723460128).

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

85791363840 is a wasteful number, since it uses less digits than its factorization.

85791363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 85791363840 in words is "eighty-five billion, seven hundred ninety-one million, three hundred sixty-three thousand, eight hundred forty".