87561215946 has 96 divisors (see below), whose sum is σ = 203960615040. Its totient is φ = 28120550976.

The previous prime is 87561215923. The next prime is 87561215953. The reversal of 87561215946 is 64951216578.

It is a happy number.

87561215946 is a `hidden beast` number, since 8 + 7 + 5 + 612 + 15 + 9 + 4 + 6 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 87561215892 and 87561215901.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6857400 + ... + 6870156.

It is an arithmetic number, because the mean of its divisors is an integer number (2124589740).

Almost surely, 2^87561215946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87561215946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101980307520).

87561215946 is an abundant number, since it is smaller than the sum of its proper divisors (116399399094).

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

87561215946 is a wasteful number, since it uses less digits than its factorization.

87561215946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13290 (or 13278 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 87561215946 in words is "eighty-seven billion, five hundred sixty-one million, two hundred fifteen thousand, nine hundred forty-six".