87570387300 has 144 divisors (see below), whose sum is σ = 276513676992. Its totient is φ = 21220761600.

The previous prime is 87570387287. The next prime is 87570387319. The reversal of 87570387300 is 378307578.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87570387300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13780924 + ... + 13787276.

It is an arithmetic number, because the mean of its divisors is an integer number (1920233868).

Almost surely, 2^87570387300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87570387300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138256838496).

87570387300 is an abundant number, since it is smaller than the sum of its proper divisors (188943289692).

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

87570387300 is a wasteful number, since it uses less digits than its factorization.

87570387300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 87570387300 in words is "eighty-seven billion, five hundred seventy million, three hundred eighty-seven thousand, three hundred".