87913313280000 has 3360 divisors, whose sum is σ = 364151247799680. Its totient is φ = 20932853760000.

The previous prime is 87913313279977. The next prime is 87913313280061. The reversal of 87913313280000 is 8231331978.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1238215679965 + ... + 1238215680035.

Almost surely, 2^{87913313280000} is an apocalyptic number.

87913313280000 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 87913313280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182075623899840).

87913313280000 is an abundant number, since it is smaller than the sum of its proper divisors (276237934519680).

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

87913313280000 is an equidigital number, since it uses as much as digits as its factorization.

87913313280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 87913313280000 in words is "eighty-seven trillion, nine hundred thirteen billion, three hundred thirteen million, two hundred eighty thousand".