87074904000 has 448 divisors, whose sum is σ = 329646320640. Its totient is φ = 19839283200.

The previous prime is 87074903989. The next prime is 87074904019. The reversal of 87074904000 is 40947078.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 87074904000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70391382 + ... + 70392618.

It is an arithmetic number, because the mean of its divisors is an integer number (735817680).

Almost surely, 2^87074904000 is an apocalyptic number.

87074904000 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 87074904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164823160320).

87074904000 is an abundant number, since it is smaller than the sum of its proper divisors (242571416640).

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

87074904000 is a wasteful number, since it uses less digits than its factorization.

87074904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 87074904000 in words is "eighty-seven billion, seventy-four million, nine hundred four thousand".