56149612147200 has 1920 divisors, whose sum is σ = 238188258975744. Its totient is φ = 11443765248000.

The previous prime is 56149612147151. The next prime is 56149612147243. The reversal of 56149612147200 is 274121694165.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56149612147200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2893852699 + ... + 2893872101.

Almost surely, 2^{56149612147200} is an apocalyptic number.

56149612147200 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 56149612147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119094129487872).

56149612147200 is an abundant number, since it is smaller than the sum of its proper divisors (182038646828544).

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

56149612147200 is a wasteful number, since it uses less digits than its factorization.

56149612147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19506 (or 19485 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 56149612147200 in words is "fifty-six trillion, one hundred forty-nine billion, six hundred twelve million, one hundred forty-seven thousand, two hundred".