85913187840 has 400 divisors, whose sum is σ = 308920776912. Its totient is φ = 22820438016.

The previous prime is 85913187817. The next prime is 85913187907. The reversal of 85913187840 is 4878131958.

85913187840 is a `hidden beast` number, since 8 + 591 + 3 + 1 + 8 + 7 + 8 + 40 = 666.

It is a super-2 number, since 2×85913187840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65732467 + ... + 65733773.

Almost surely, 2^85913187840 is an apocalyptic number.

85913187840 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 85913187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154460388456).

85913187840 is an abundant number, since it is smaller than the sum of its proper divisors (223007589072).

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

85913187840 is a wasteful number, since it uses less digits than its factorization.

85913187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 85913187840 in words is "eighty-five billion, nine hundred thirteen million, one hundred eighty-seven thousand, eight hundred forty".