85770349632 has 896 divisors, whose sum is σ = 307121356800. Its totient is φ = 23178700800.

The previous prime is 85770349619. The next prime is 85770349699. The reversal of 85770349632 is 23694307758.

85770349632 is a `hidden beast` number, since 8 + 57 + 70 + 3 + 496 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 526198383 + ... + 526198545.

Almost surely, 2^85770349632 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 85770349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153560678400).

85770349632 is an abundant number, since it is smaller than the sum of its proper divisors (221351007168).

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

85770349632 is a wasteful number, since it uses less digits than its factorization.

85770349632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 85770349632 in words is "eighty-five billion, seven hundred seventy million, three hundred forty-nine thousand, six hundred thirty-two".