5696149262400 has 1680 divisors, whose sum is σ = 23092927672320. Its totient is φ = 1371686400000.

The previous prime is 5696149262399. The next prime is 5696149262411. The reversal of 5696149262400 is 42629416965.

5696149262400 is a `hidden beast` number, since 5 + 6 + 9 + 6 + 1 + 4 + 9 + 2 + 624 + 0 + 0 = 666.

It is a super-3 number, since 3×5696149262400³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 5419741875 + ... + 5419742925.

Almost surely, 2^{5696149262400} is an apocalyptic number.

5696149262400 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 5696149262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546463836160).

5696149262400 is an abundant number, since it is smaller than the sum of its proper divisors (17396778409920).

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

5696149262400 is a wasteful number, since it uses less digits than its factorization.

5696149262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 5696149262400 in words is "five trillion, six hundred ninety-six billion, one hundred forty-nine million, two hundred sixty-two thousand, four hundred".