5456476872000 has 1120 divisors, whose sum is σ = 25167233684736. Its totient is φ = 1133803008000.

The previous prime is 5456476871981. The next prime is 5456476872019. The reversal of 5456476872000 is 2786746545.

It is a happy number.

5456476872000 is a `hidden beast` number, since 5 + 4 + 564 + 7 + 6 + 8 + 72 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5456476871981) and next prime (5456476872019).

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49841322 + ... + 49950678.

Almost surely, 2^{5456476872000} is an apocalyptic number.

5456476872000 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 5456476872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12583616842368).

5456476872000 is an abundant number, since it is smaller than the sum of its proper divisors (19710756812736).

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

5456476872000 is a wasteful number, since it uses less digits than its factorization.

5456476872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109414 (or 109385 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 5456476872000 in words is "five trillion, four hundred fifty-six billion, four hundred seventy-six million, eight hundred seventy-two thousand".