5451679598400 has 1680 divisors, whose sum is σ = 24419892955392. Its totient is φ = 1164533760000.

The previous prime is 5451679598381. The next prime is 5451679598419. The reversal of 5451679598400 is 48959761545.

5451679598400 is a `hidden beast` number, since 5 + 4 + 51 + 6 + 7 + 95 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5451679598381) and next prime (5451679598419).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×5451679598400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 2328781230 + ... + 2328783570.

Almost surely, 2^{5451679598400} is an apocalyptic number.

5451679598400 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 5451679598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209946477696).

5451679598400 is an abundant number, since it is smaller than the sum of its proper divisors (18968213356992).

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

5451679598400 is a wasteful number, since it uses less digits than its factorization.

5451679598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 5451679598400 in words is "five trillion, four hundred fifty-one billion, six hundred seventy-nine million, five hundred ninety-eight thousand, four hundred".