56437254351360 has 480 divisors, whose sum is σ = 202757840917632. Its totient is φ = 15045437767680.

The previous prime is 56437254351353. The next prime is 56437254351371. The reversal of 56437254351360 is 6315345273465.

56437254351360 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 7 + 25 + 43 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 56437254351297 and 56437254351306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2432943282 + ... + 2432966478.

Almost surely, 2^{56437254351360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56437254351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101378920458816).

56437254351360 is an abundant number, since it is smaller than the sum of its proper divisors (146320586566272).

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

56437254351360 is an equidigital number, since it uses as much as digits as its factorization.

56437254351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27146 (or 27118 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 56437254351360 in words is "fifty-six trillion, four hundred thirty-seven billion, two hundred fifty-four million, three hundred fifty-one thousand, three hundred sixty".