56410519979520 has 640 divisors, whose sum is σ = 229066718791680. Its totient is φ = 12890068254720.

The previous prime is 56410519979519. The next prime is 56410519979521. The reversal of 56410519979520 is 2597991501465.

56410519979520 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 0 + 5 + 19 + 97 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (56410519979519) and next prime (56410519979521).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56410519979521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1869058830 + ... + 1869089010.

It is an arithmetic number, because the mean of its divisors is an integer number (357916748112).

Almost surely, 2^{56410519979520} 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 56410519979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114533359395840).

56410519979520 is an abundant number, since it is smaller than the sum of its proper divisors (172656198812160).

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

56410519979520 is a wasteful number, since it uses less digits than its factorization.

56410519979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34083 (or 34061 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The spelling of 56410519979520 in words is "fifty-six trillion, four hundred ten billion, five hundred nineteen million, nine hundred seventy-nine thousand, five hundred twenty".