87311846400 has 264 divisors, whose sum is σ = 289178117904. Its totient is φ = 23234150400.

The previous prime is 87311846383. The next prime is 87311846423. The reversal of 87311846400 is 464811378.

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, 50149530 + ... + 50151270.

Almost surely, 2^87311846400 is an apocalyptic number.

87311846400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87311846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144589058952).

87311846400 is an abundant number, since it is smaller than the sum of its proper divisors (201866271504).

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

87311846400 is a wasteful number, since it uses less digits than its factorization.

87311846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 87311846400 in words is "eighty-seven billion, three hundred eleven million, eight hundred forty-six thousand, four hundred".