87961411776 has 168 divisors, whose sum is σ = 274747597824. Its totient is φ = 24304389120.

The previous prime is 87961411739. The next prime is 87961411789. The reversal of 87961411776 is 67711416978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60537066 + ... + 60538518.

It is an arithmetic number, because the mean of its divisors is an integer number (1635402368).

Almost surely, 2^87961411776 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 87961411776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137373798912).

87961411776 is an abundant number, since it is smaller than the sum of its proper divisors (186786186048).

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

87961411776 is an equidigital number, since it uses as much as digits as its factorization.

87961411776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 1496 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 57.

The spelling of 87961411776 in words is "eighty-seven billion, nine hundred sixty-one million, four hundred eleven thousand, seven hundred seventy-six".