85111378560 has 1920 divisors, whose sum is σ = 381930595200. Its totient is φ = 17868128256.

The previous prime is 85111378559. The next prime is 85111378589. The reversal of 85111378560 is 6587311158.

85111378560 is a `hidden beast` number, since 8 + 5 + 1 + 1 + 13 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3700494709 + ... + 3700494731.

It is an arithmetic number, because the mean of its divisors is an integer number (198922185).

Almost surely, 2^85111378560 is an apocalyptic number.

85111378560 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 85111378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190965297600).

85111378560 is an abundant number, since it is smaller than the sum of its proper divisors (296819216640).

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

85111378560 is a wasteful number, since it uses less digits than its factorization.

85111378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 85111378560 in words is "eighty-five billion, one hundred eleven million, three hundred seventy-eight thousand, five hundred sixty".