87516200239104 has 544 divisors, whose sum is σ = 288283722979840. Its totient is φ = 22996567719936.

The previous prime is 87516200239103. The next prime is 87516200239147. The reversal of 87516200239104 is 40193200261578.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87516200239103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4955889027 + ... + 4955906685.

It is a 1-persistent number, because it is pandigital, but 2⋅87516200239104 = 175032400478208 is not.

Almost surely, 2^{87516200239104} is an apocalyptic number.

87516200239104 is a gapful number since it is divisible by the number (84) 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 87516200239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144141861489920).

87516200239104 is an abundant number, since it is smaller than the sum of its proper divisors (200767522740736).

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

87516200239104 is a wasteful number, since it uses less digits than its factorization.

87516200239104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17991 (or 17961 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 87516200239104 in words is "eighty-seven trillion, five hundred sixteen billion, two hundred million, two hundred thirty-nine thousand, one hundred four".