56153006046720 has 960 divisors, whose sum is σ = 225026280610560. Its totient is φ = 12797794713600.

The previous prime is 56153006046719. The next prime is 56153006046721. The reversal of 56153006046720 is 2764060035165.

56153006046720 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 30 + 0 + 604 + 6 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56153006046719) and next prime (56153006046721).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56153006046721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 630767652 + ... + 630856668.

It is an arithmetic number, because the mean of its divisors is an integer number (234402375636).

Almost surely, 2^{56153006046720} 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 56153006046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112513140305280).

56153006046720 is an abundant number, since it is smaller than the sum of its proper divisors (168873274563840).

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

56153006046720 is a wasteful number, since it uses less digits than its factorization.

56153006046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89207 (or 89188 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 56153006046720 in words is "fifty-six trillion, one hundred fifty-three billion, six million, forty-six thousand, seven hundred twenty".