56873249072640 has 8640 divisors, whose sum is σ = 304322560109568. Its totient is φ = 9885279191040.

The previous prime is 56873249072603. The next prime is 56873249072677. The reversal of 56873249072640 is 4627094237865.

56873249072640 is a `hidden beast` number, since 5 + 6 + 8 + 7 + 32 + 490 + 72 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (56873249072603) and next prime (56873249072677).

It is a tau number, because it is divible by the number of its divisors (8640).

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 polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2472749959669 + ... + 2472749959691.

Almost surely, 2^{56873249072640} 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 56873249072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152161280054784).

56873249072640 is an abundant number, since it is smaller than the sum of its proper divisors (247449311036928).

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

56873249072640 is a wasteful number, since it uses less digits than its factorization.

56873249072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 56873249072640 in words is "fifty-six trillion, eight hundred seventy-three billion, two hundred forty-nine million, seventy-two thousand, six hundred forty".