87249438912 has 224 divisors, whose sum is σ = 248740208640. Its totient is φ = 26893762560.

The previous prime is 87249438911. The next prime is 87249438953. The reversal of 87249438912 is 21983494278.

It is a super-2 number, since 2×87249438912² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87249438911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45182587 + ... + 45184517.

It is an arithmetic number, because the mean of its divisors is an integer number (1110447360).

Almost surely, 2^87249438912 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 87249438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124370104320).

87249438912 is an abundant number, since it is smaller than the sum of its proper divisors (161490769728).

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

87249438912 is a wasteful number, since it uses less digits than its factorization.

87249438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2189 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The spelling of 87249438912 in words is "eighty-seven billion, two hundred forty-nine million, four hundred thirty-eight thousand, nine hundred twelve".