85377186180000 has 4320 divisors, whose sum is σ = 378683317748736. Its totient is φ = 18095616000000.

The previous prime is 85377186179993. The next prime is 85377186180043. The reversal of 85377186180000 is 8168177358.

It is a happy number.

85377186180000 is a `hidden beast` number, since 8 + 5 + 3 + 7 + 7 + 18 + 618 + 0 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 623191139932 + ... + 623191140068.

Almost surely, 2^{85377186180000} is an apocalyptic number.

85377186180000 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 85377186180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189341658874368).

85377186180000 is an abundant number, since it is smaller than the sum of its proper divisors (293306131568736).

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

85377186180000 is a wasteful number, since it uses less digits than its factorization.

85377186180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 85377186180000 in words is "eighty-five trillion, three hundred seventy-seven billion, one hundred eighty-six million, one hundred eighty thousand".