87459378739200 has 5184 divisors, whose sum is σ = 395108025530400. Its totient is φ = 18880974028800.

The previous prime is 87459378739141. The next prime is 87459378739231. The reversal of 87459378739200 is 293787395478.

87459378739200 is a `hidden beast` number, since 8 + 7 + 4 + 593 + 7 + 8 + 7 + 3 + 9 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1433760307170 + ... + 1433760307230.

Almost surely, 2^{87459378739200} is an apocalyptic number.

87459378739200 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 87459378739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197554012765200).

87459378739200 is an abundant number, since it is smaller than the sum of its proper divisors (307648646791200).

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

87459378739200 is a wasteful number, since it uses less digits than its factorization.

87459378739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 87459378739200 in words is "eighty-seven trillion, four hundred fifty-nine billion, three hundred seventy-eight million, seven hundred thirty-nine thousand, two hundred".