85151122560 has 1024 divisors, whose sum is σ = 363980390400. Its totient is φ = 18393661440.

The previous prime is 85151122549. The next prime is 85151122561. The reversal of 85151122560 is 6522115158.

85151122560 is a `hidden beast` number, since 8 + 515 + 112 + 25 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85151122561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 353324040 + ... + 353324280.

It is an arithmetic number, because the mean of its divisors is an integer number (355449600).

Almost surely, 2^85151122560 is an apocalyptic number.

85151122560 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 85151122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181990195200).

85151122560 is an abundant number, since it is smaller than the sum of its proper divisors (278829267840).

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

85151122560 is a wasteful number, since it uses less digits than its factorization.

85151122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 85151122560 in words is "eighty-five billion, one hundred fifty-one million, one hundred twenty-two thousand, five hundred sixty".