85111500672 has 576 divisors, whose sum is σ = 279351072000. Its totient is φ = 24842188800.

The previous prime is 85111500659. The next prime is 85111500823. The reversal of 85111500672 is 27600511158.

85111500672 is a `hidden beast` number, since 85 + 1 + 1 + 1 + 500 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 649706047 + ... + 649706177.

It is an arithmetic number, because the mean of its divisors is an integer number (484984500).

Almost surely, 2^85111500672 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 85111500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139675536000).

85111500672 is an abundant number, since it is smaller than the sum of its proper divisors (194239571328).

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

85111500672 is a wasteful number, since it uses less digits than its factorization.

85111500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 85111500672 in words is "eighty-five billion, one hundred eleven million, five hundred thousand, six hundred seventy-two".