87499838400 has 672 divisors, whose sum is σ = 330686834688. Its totient is φ = 20085964800.

The previous prime is 87499838357. The next prime is 87499838401. The reversal of 87499838400 is 483899478.

It is a super-3 number, since 3×87499838400³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87499838401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58842457 + ... + 58843943.

It is an arithmetic number, because the mean of its divisors is an integer number (492093504).

Almost surely, 2^87499838400 is an apocalyptic number.

87499838400 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 87499838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165343417344).

87499838400 is an abundant number, since it is smaller than the sum of its proper divisors (243186996288).

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

87499838400 is a wasteful number, since it uses less digits than its factorization.

87499838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 87499838400 in words is "eighty-seven billion, four hundred ninety-nine million, eight hundred thirty-eight thousand, four hundred".