85737211560 has 1024 divisors, whose sum is σ = 389471846400. Its totient is φ = 16198963200.

The previous prime is 85737211529. The next prime is 85737211591. The reversal of 85737211560 is 6511273758.

It is a happy number.

85737211560 is a `hidden beast` number, since 8 + 5 + 7 + 3 + 72 + 11 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (85737211529) and next prime (85737211591).

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 255 ways as a sum of consecutive naturals, for example, 76756122 + ... + 76757238.

It is an arithmetic number, because the mean of its divisors is an integer number (380343600).

Almost surely, 2^85737211560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85737211560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194735923200).

85737211560 is an abundant number, since it is smaller than the sum of its proper divisors (303734634840).

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

85737211560 is a wasteful number, since it uses less digits than its factorization.

85737211560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 85737211560 in words is "eighty-five billion, seven hundred thirty-seven million, two hundred eleven thousand, five hundred sixty".