87961419120 has 80 divisors (see below), whose sum is σ = 272731285152. Its totient is φ = 23452001280.

The previous prime is 87961419089. The next prime is 87961419137. The reversal of 87961419120 is 2191416978.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×87961419120² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87961419120.

It is a congruent number.

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, 1375374 + ... + 1437906.

Almost surely, 2^87961419120 is an apocalyptic number.

87961419120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87961419120 is an abundant number, since it is smaller than the sum of its proper divisors (184769866032).

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

87961419120 is a wasteful number, since it uses less digits than its factorization.

87961419120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68410 (or 68404 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 87961419120 in words is "eighty-seven billion, nine hundred sixty-one million, four hundred nineteen thousand, one hundred twenty".