57744640800000 has 4320 divisors, whose sum is σ = 273770145589248. Its totient is φ = 11757312000000.

The previous prime is 57744640799977. The next prime is 57744640800013. The reversal of 57744640800000 is 804644775.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×57744640800000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 354261599919 + ... + 354261600081.

Almost surely, 2^{57744640800000} is an apocalyptic number.

57744640800000 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 57744640800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136885072794624).

57744640800000 is an abundant number, since it is smaller than the sum of its proper divisors (216025504789248).

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

57744640800000 is an equidigital number, since it uses as much as digits as its factorization.

57744640800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 57744640800000 in words is "fifty-seven trillion, seven hundred forty-four billion, six hundred forty million, eight hundred thousand".