56653526742400 has 384 divisors, whose sum is σ = 162231910868160. Its totient is φ = 19146660249600.

The previous prime is 56653526742301. The next prime is 56653526742443. The reversal of 56653526742400 is 424762535665.

It is a congruent number.

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, 3043097892 + ... + 3043116508.

Almost surely, 2^{56653526742400} is an apocalyptic number.

56653526742400 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 56653526742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81115955434080).

56653526742400 is an abundant number, since it is smaller than the sum of its proper divisors (105578384125760).

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

56653526742400 is a wasteful number, since it uses less digits than its factorization.

56653526742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20582 (or 20565 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 55.

The spelling of 56653526742400 in words is "fifty-six trillion, six hundred fifty-three billion, five hundred twenty-six million, seven hundred forty-two thousand, four hundred".