86545760633472 has 1152 divisors, whose sum is σ = 288009252892800. Its totient is φ = 22930532352000.

The previous prime is 86545760633417. The next prime is 86545760633477. The reversal of 86545760633472 is 27433606754568.

It is not an unprimeable number, because it can be changed into a prime (86545760633477) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79181848158 + ... + 79181849250.

It is an arithmetic number, because the mean of its divisors is an integer number (250008032025).

Almost surely, 2^{86545760633472} 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 86545760633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144004626446400).

86545760633472 is an abundant number, since it is smaller than the sum of its proper divisors (201463492259328).

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

86545760633472 is a wasteful number, since it uses less digits than its factorization.

86545760633472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 66.

The spelling of 86545760633472 in words is "eighty-six trillion, five hundred forty-five billion, seven hundred sixty million, six hundred thirty-three thousand, four hundred seventy-two".