87248793517200 has 2880 divisors, whose sum is σ = 388819738944000. Its totient is φ = 18025788211200.

The previous prime is 87248793517153. The next prime is 87248793517241. The reversal of 87248793517200 is 271539784278.

87248793517200 is a `hidden beast` number, since 8 + 7 + 2 + 4 + 8 + 7 + 93 + 517 + 20 + 0 = 666.

87248793517200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×87248793517200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 201498368184 + ... + 201498368616.

It is an arithmetic number, because the mean of its divisors is an integer number (135006853800).

Almost surely, 2^{87248793517200} is an apocalyptic number.

87248793517200 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 87248793517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194409869472000).

87248793517200 is an abundant number, since it is smaller than the sum of its proper divisors (301570945426800).

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

87248793517200 is a wasteful number, since it uses less digits than its factorization.

87248793517200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 87248793517200 in words is "eighty-seven trillion, two hundred forty-eight billion, seven hundred ninety-three million, five hundred seventeen thousand, two hundred".