87154848400 has 135 divisors (see below), whose sum is σ = 217285714321. Its totient is φ = 33593674240.

The previous prime is 87154848397. The next prime is 87154848457. The reversal of 87154848400 is 484845178.

The square root of 87154848400 is 295220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 24942516624 + 62212331776 = 157932^2 + 249424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171227346 + ... + 171227854.

Almost surely, 2^87154848400 is an apocalyptic number.

87154848400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87154848400 is the 295220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87154848400

87154848400 is an abundant number, since it is smaller than the sum of its proper divisors (130130865921).

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

87154848400 is an equidigital number, since it uses as much as digits as its factorization.

87154848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 49.

Multiplying 87154848400 by its sum of digits (49), we get a square (4270587571600 = 2066540²).

The spelling of 87154848400 in words is "eighty-seven billion, one hundred fifty-four million, eight hundred forty-eight thousand, four hundred".