85951003404 has 192 divisors, whose sum is σ = 246471837696. Its totient is φ = 22776754176.

The previous prime is 85951003351. The next prime is 85951003429. The reversal of 85951003404 is 40430015958.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22658532 + ... + 22662324.

It is an arithmetic number, because the mean of its divisors is an integer number (1283707488).

Almost surely, 2^85951003404 is an apocalyptic number.

85951003404 is a gapful number since it is divisible by the number (84) 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 85951003404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123235918848).

85951003404 is an abundant number, since it is smaller than the sum of its proper divisors (160520834292).

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

85951003404 is a wasteful number, since it uses less digits than its factorization.

85951003404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 85951003404 in words is "eighty-five billion, nine hundred fifty-one million, three thousand, four hundred four".