87461112576 has 144 divisors (see below), whose sum is σ = 249940712448. Its totient is φ = 27052032000.

The previous prime is 87461112551. The next prime is 87461112581. The reversal of 87461112576 is 67521116478.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879801 + ... + 974151.

It is an arithmetic number, because the mean of its divisors is an integer number (1735699392).

Almost surely, 2^87461112576 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 87461112576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124970356224).

87461112576 is an abundant number, since it is smaller than the sum of its proper divisors (162479599872).

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

87461112576 is a wasteful number, since it uses less digits than its factorization.

87461112576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94458 (or 94444 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The spelling of 87461112576 in words is "eighty-seven billion, four hundred sixty-one million, one hundred twelve thousand, five hundred seventy-six".