3125754593280 has 1440 divisors, whose sum is σ = 12579114306528. Its totient is φ = 736100352000.

The previous prime is 3125754593279. The next prime is 3125754593317. The reversal of 3125754593280 is 823954575213.

3125754593280 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 7 + 545 + 93 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3125754593280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 30948065230 + ... + 30948065330.

Almost surely, 2^{3125754593280} is an apocalyptic number.

3125754593280 is a gapful number since it is divisible by the number (30) 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 3125754593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289557153264).

3125754593280 is an abundant number, since it is smaller than the sum of its proper divisors (9453359713248).

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

3125754593280 is an equidigital number, since it uses as much as digits as its factorization.

3125754593280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 3125754593280 in words is "three trillion, one hundred twenty-five billion, seven hundred fifty-four million, five hundred ninety-three thousand, two hundred eighty".