5522876006400 has 1323 divisors, whose sum is σ = 21814734571231. Its totient is φ = 1386133585920.

The previous prime is 5522876006353. The next prime is 5522876006449. The reversal of 5522876006400 is 46006782255.

The square root of 5522876006400 is 2350080.

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

5522876006400 is a `hidden beast` number, since 5 + 522 + 8 + 7 + 60 + 0 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129185611776 + 5393690394624 = 359424^2 + 2322432^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 324875059192 + ... + 324875059208.

Almost surely, 2^{5522876006400} is an apocalyptic number.

5522876006400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5522876006400 is the 2350080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5522876006400

5522876006400 is an abundant number, since it is smaller than the sum of its proper divisors (16291858564831).

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

5522876006400 is an frugal number, since it uses more digits than its factorization.

5522876006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5522876006400 in words is "five trillion, five hundred twenty-two billion, eight hundred seventy-six million, six thousand, four hundred".