85878492144000 has 128 divisors (see below), whose sum is σ = 284687201616480. Its totient is φ = 22900931225600.

The previous prime is 85878492143957. The next prime is 85878492144037. The reversal of 85878492144000 is 44129487858.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894519627 + ... + 894615626.

Almost surely, 2^{85878492144000} is an apocalyptic number.

85878492144000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85878492144000 is an abundant number, since it is smaller than the sum of its proper divisors (198808709472480).

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

85878492144000 is a wasteful number, since it uses less digits than its factorization.

85878492144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789135285 (or 1789135263 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 85878492144000 in words is "eighty-five trillion, eight hundred seventy-eight billion, four hundred ninety-two million, one hundred forty-four thousand".