5752974689280 has 4224 divisors, whose sum is σ = 27939761740800. Its totient is φ = 1123685498880.

The previous prime is 5752974689249. The next prime is 5752974689299. The reversal of 5752974689280 is 829864792575.

5752974689280 is a `hidden beast` number, since 5 + 7 + 52 + 97 + 468 + 9 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5752974689199 and 5752974689208.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 94311060450 + ... + 94311060510.

Almost surely, 2^{5752974689280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5752974689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13969880870400).

5752974689280 is an abundant number, since it is smaller than the sum of its proper divisors (22186787051520).

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

5752974689280 is a wasteful number, since it uses less digits than its factorization.

5752974689280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 5752974689280 in words is "five trillion, seven hundred fifty-two billion, nine hundred seventy-four million, six hundred eighty-nine thousand, two hundred eighty".