56149338752000 has 1584 divisors, whose sum is σ = 163176681082896. Its totient is φ = 19253624832000.

The previous prime is 56149338751981. The next prime is 56149338752021. The reversal of 56149338752000 is 25783394165.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 56004987387904 + 144351364096 = 7483648^2 + 379936^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 769169023964 + ... + 769169024036.

It is a 1-persistent number, because it is pandigital, but 2⋅56149338752000 = 112298677504000 is not.

Almost surely, 2^{56149338752000} is an apocalyptic number.

56149338752000 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 56149338752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81588340541448).

56149338752000 is an abundant number, since it is smaller than the sum of its proper divisors (107027342330896).

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

56149338752000 is a wasteful number, since it uses less digits than its factorization.

56149338752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 56149338752000 in words is "fifty-six trillion, one hundred forty-nine billion, three hundred thirty-eight million, seven hundred fifty-two thousand".