85992401040 has 960 divisors, whose sum is σ = 347753742336. Its totient is φ = 17411272704.

The previous prime is 85992401023. The next prime is 85992401041. The reversal of 85992401040 is 4010429958.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 85992400983 and 85992401001.

It is not an unprimeable number, because it can be changed into a prime (85992401041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 677105457 + ... + 677105583.

Almost surely, 2^85992401040 is an apocalyptic number.

85992401040 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 85992401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173876871168).

85992401040 is an abundant number, since it is smaller than the sum of its proper divisors (261761341296).

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

85992401040 is a wasteful number, since it uses less digits than its factorization.

85992401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 85992401040 in words is "eighty-five billion, nine hundred ninety-two million, four hundred one thousand, forty".