2557511545248 has 480 divisors, whose sum is σ = 8437409608320. Its totient is φ = 753356298240.

The previous prime is 2557511545189. The next prime is 2557511545261. The reversal of 2557511545248 is 8425451157552.

It is a happy number.

2557511545248 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 51 + 1 + 545 + 2 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2557511545194 and 2557511545203.

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 79 ways as a sum of consecutive naturals, for example, 164706061 + ... + 164721587.

It is an arithmetic number, because the mean of its divisors is an integer number (17577936684).

Almost surely, 2^{2557511545248} 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 2557511545248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218704804160).

2557511545248 is an abundant number, since it is smaller than the sum of its proper divisors (5879898063072).

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

2557511545248 is a wasteful number, since it uses less digits than its factorization.

2557511545248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722 (or 15705 counting only the distinct ones).

The product of its digits is 11200000, while the sum is 54.

The spelling of 2557511545248 in words is "two trillion, five hundred fifty-seven billion, five hundred eleven million, five hundred forty-five thousand, two hundred forty-eight".