87875808768000 has 1040 divisors, whose sum is σ = 357397956732960. Its totient is φ = 21303115776000.

The previous prime is 87875808767953. The next prime is 87875808768001. The reversal of 87875808768000 is 86780857878.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 87875808768000.

It is not an unprimeable number, because it can be changed into a prime (87875808768001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 456095686 + ... + 456288314.

It is an arithmetic number, because the mean of its divisors is an integer number (343651881474).

Almost surely, 2^{87875808768000} is an apocalyptic number.

87875808768000 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 87875808768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178698978366480).

87875808768000 is an abundant number, since it is smaller than the sum of its proper divisors (269522147964960).

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

87875808768000 is a wasteful number, since it uses less digits than its factorization.

87875808768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192691 (or 192650 counting only the distinct ones).

The product of its (nonzero) digits is 337182720, while the sum is 72.

The spelling of 87875808768000 in words is "eighty-seven trillion, eight hundred seventy-five billion, eight hundred eight million, seven hundred sixty-eight thousand".