85954176000 has 2816 divisors, whose sum is σ = 441444556800. Its totient is φ = 15925248000.

The previous prime is 85954175999. The next prime is 85954176023. The reversal of 85954176000 is 67145958.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4523903991 + ... + 4523904009.

Almost surely, 2^85954176000 is an apocalyptic number.

85954176000 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 85954176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220722278400).

85954176000 is an abundant number, since it is smaller than the sum of its proper divisors (355490380800).

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

85954176000 is a wasteful number, since it uses less digits than its factorization.

85954176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 85954176000 in words is "eighty-five billion, nine hundred fifty-four million, one hundred seventy-six thousand".