87454666958400 has 1323 divisors, whose sum is σ = 375622034215059. Its totient is φ = 19973478389760.

The previous prime is 87454666958257. The next prime is 87454666958413. The reversal of 87454666958400 is 485966645478.

It is a happy number.

The square root of 87454666958400 is 9351720.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1380211430976 + 86074455527424 = 1174824^2 + 9277632^2 .

It is a tau number, because it is divible by the number of its divisors (1323).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 70699002582 + ... + 70699003818.

Almost surely, 2^{87454666958400} is an apocalyptic number.

87454666958400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87454666958400 is the 9351720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87454666958400

87454666958400 is an abundant number, since it is smaller than the sum of its proper divisors (288167367256659).

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

87454666958400 is an frugal number, since it uses more digits than its factorization.

87454666958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 87454666958400 in words is "eighty-seven trillion, four hundred fifty-four billion, six hundred sixty-six million, nine hundred fifty-eight thousand, four hundred".