5510192864400 has 1755 divisors, whose sum is σ = 24147346717641. Its totient is φ = 1204712974080.

The previous prime is 5510192864387. The next prime is 5510192864431. The reversal of 5510192864400 is 44682910155.

The square root of 5510192864400 is 2347380.

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

5510192864400 is a `hidden beast` number, since 5 + 5 + 10 + 192 + 8 + 6 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1983669431184 + 3526523433216 = 1408428^2 + 1877904^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 350 ways as a sum of consecutive naturals, for example, 239573602789 + ... + 239573602811.

Almost surely, 2^{5510192864400} is an apocalyptic number.

5510192864400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5510192864400 is the 2347380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5510192864400

5510192864400 is an abundant number, since it is smaller than the sum of its proper divisors (18637153853241).

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

5510192864400 is an frugal number, since it uses more digits than its factorization.

5510192864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5510192864400 in words is "five trillion, five hundred ten billion, one hundred ninety-two million, eight hundred sixty-four thousand, four hundred".