87625213900 has 144 divisors (see below), whose sum is σ = 225359951040. Its totient is φ = 28935244800.

The previous prime is 87625213889. The next prime is 87625213909. The reversal of 87625213900 is 931252678.

It is a super-2 number, since 2×87625213900² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (87625213909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8541174 + ... + 8551426.

It is an arithmetic number, because the mean of its divisors is an integer number (1564999660).

Almost surely, 2^87625213900 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 87625213900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112679975520).

87625213900 is an abundant number, since it is smaller than the sum of its proper divisors (137734737140).

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

87625213900 is a wasteful number, since it uses less digits than its factorization.

87625213900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10724 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 87625213900 in words is "eighty-seven billion, six hundred twenty-five million, two hundred thirteen thousand, nine hundred".