87482174400 has 252 divisors, whose sum is σ = 324452327472. Its totient is φ = 22314209280.

The previous prime is 87482174399. The next prime is 87482174407. The reversal of 87482174400 is 447128478.

87482174400 is a `hidden beast` number, since 8 + 74 + 8 + 2 + 174 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87482174407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199132 + ... + 463268.

It is an arithmetic number, because the mean of its divisors is an integer number (1287509236).

Almost surely, 2^87482174400 is an apocalyptic number.

87482174400 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 87482174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162226163736).

87482174400 is an abundant number, since it is smaller than the sum of its proper divisors (236970153072).

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

87482174400 is a wasteful number, since it uses less digits than its factorization.

87482174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264188 (or 264170 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 87482174400 in words is "eighty-seven billion, four hundred eighty-two million, one hundred seventy-four thousand, four hundred".