87390140544000 has 4224 divisors, whose sum is σ = 398333817123840. Its totient is φ = 19037439590400.

The previous prime is 87390140543999. The next prime is 87390140544053. The reversal of 87390140544000 is 44504109378.

87390140544000 is a `hidden beast` number, since 8 + 7 + 3 + 90 + 14 + 0 + 544 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 315487871862 + ... + 315487872138.

Almost surely, 2^{87390140544000} is an apocalyptic number.

87390140544000 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 87390140544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199166908561920).

87390140544000 is an abundant number, since it is smaller than the sum of its proper divisors (310943676579840).

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

87390140544000 is an equidigital number, since it uses as much as digits as its factorization.

87390140544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 87390140544000 in words is "eighty-seven trillion, three hundred ninety billion, one hundred forty million, five hundred forty-four thousand".