2575780712400 has 480 divisors, whose sum is σ = 9740462284800. Its totient is φ = 569379686400.

The previous prime is 2575780712387. The next prime is 2575780712471. The reversal of 2575780712400 is 42170875752.

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 2575780712400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609073486 + ... + 609077714.

It is an arithmetic number, because the mean of its divisors is an integer number (20292629760).

Almost surely, 2^{2575780712400} is an apocalyptic number.

2575780712400 is a gapful number since it is divisible by the number (20) 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 2575780712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870231142400).

2575780712400 is an abundant number, since it is smaller than the sum of its proper divisors (7164681572400).

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

2575780712400 is a wasteful number, since it uses less digits than its factorization.

2575780712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6627 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 48.

The spelling of 2575780712400 in words is "two trillion, five hundred seventy-five billion, seven hundred eighty million, seven hundred twelve thousand, four hundred".