56463835428000 has 11520 divisors, whose sum is σ = 318854600064000. Its totient is φ = 9656672256000.

The previous prime is 56463835427941. The next prime is 56463835428047. The reversal of 56463835428000 is 82453836465.

56463835428000 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 3 + 8 + 354 + 280 + 0 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×56463835428000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 2971780811991 + ... + 2971780812009.

It is an arithmetic number, because the mean of its divisors is an integer number (27678350700).

Almost surely, 2^{56463835428000} is an apocalyptic number.

56463835428000 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 56463835428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159427300032000).

56463835428000 is an abundant number, since it is smaller than the sum of its proper divisors (262390764636000).

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

56463835428000 is a wasteful number, since it uses less digits than its factorization.

56463835428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 56463835428000 in words is "fifty-six trillion, four hundred sixty-three billion, eight hundred thirty-five million, four hundred twenty-eight thousand".