87294506400 has 216 divisors, whose sum is σ = 314982027360. Its totient is φ = 22737093120.

The previous prime is 87294506393. The next prime is 87294506441. The reversal of 87294506400 is 460549278.

It is a happy number.

87294506400 is a `hidden beast` number, since 87 + 29 + 4 + 506 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168621 + ... + 450579.

Almost surely, 2^87294506400 is an apocalyptic number.

87294506400 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 87294506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157491013680).

87294506400 is an abundant number, since it is smaller than the sum of its proper divisors (227687520960).

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

87294506400 is a wasteful number, since it uses less digits than its factorization.

87294506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282028 (or 282012 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 87294506400 in words is "eighty-seven billion, two hundred ninety-four million, five hundred six thousand, four hundred".