5575653210400 has 576 divisors, whose sum is σ = 17517246824448. Its totient is φ = 1684388597760.

The previous prime is 5575653210389. The next prime is 5575653210419. The reversal of 5575653210400 is 40123565755.

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 95 ways as a sum of consecutive naturals, for example, 875708017 + ... + 875714383.

It is an arithmetic number, because the mean of its divisors is an integer number (30411886848).

Almost surely, 2^{5575653210400} is an apocalyptic number.

5575653210400 is a gapful number since it is divisible by the number (50) 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 5575653210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758623412224).

5575653210400 is an abundant number, since it is smaller than the sum of its proper divisors (11941593614048).

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

5575653210400 is a wasteful number, since it uses less digits than its factorization.

5575653210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6953 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 43.

The spelling of 5575653210400 in words is "five trillion, five hundred seventy-five billion, six hundred fifty-three million, two hundred ten thousand, four hundred".