5712945504000 has 1152 divisors, whose sum is σ = 22261747802112. Its totient is φ = 1271468851200.

The previous prime is 5712945503989. The next prime is 5712945504001. The reversal of 5712945504000 is 4055492175.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5712945504001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8748767674 + ... + 8748768326.

It is an arithmetic number, because the mean of its divisors is an integer number (19324433856).

Almost surely, 2^{5712945504000} is an apocalyptic number.

5712945504000 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 5712945504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130873901056).

5712945504000 is an abundant number, since it is smaller than the sum of its proper divisors (16548802298112).

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

5712945504000 is a wasteful number, since it uses less digits than its factorization.

5712945504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 5712945504000 in words is "five trillion, seven hundred twelve billion, nine hundred forty-five million, five hundred four thousand".