87950557824000 has 704 divisors, whose sum is σ = 304960016275200. Its totient is φ = 22471507968000.

The previous prime is 87950557823981. The next prime is 87950557824011. The reversal of 87950557824000 is 42875505978.

It is a super-2 number, since 2×87950557824000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1458785856 + ... + 1458846144.

It is an arithmetic number, because the mean of its divisors is an integer number (433181841300).

Almost surely, 2^{87950557824000} is an apocalyptic number.

87950557824000 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 87950557824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152480008137600).

87950557824000 is an abundant number, since it is smaller than the sum of its proper divisors (217009458451200).

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

87950557824000 is a wasteful number, since it uses less digits than its factorization.

87950557824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60487 (or 60459 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 60.

The spelling of 87950557824000 in words is "eighty-seven trillion, nine hundred fifty billion, five hundred fifty-seven million, eight hundred twenty-four thousand".