2557776777552 has 120 divisors (see below), whose sum is σ = 7352960499456. Its totient is φ = 829405640448.

The previous prime is 2557776777527. The next prime is 2557776777557.

2557776777552 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 7 + 7 + 67 + 7 + 7 + 552 = 666.

2557776777552 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2557776777552² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557776777557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33245593 + ... + 33322439.

Almost surely, 2^{2557776777552} 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 2557776777552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676480249728).

2557776777552 is an abundant number, since it is smaller than the sum of its proper divisors (4795183721904).

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

2557776777552 is a wasteful number, since it uses less digits than its factorization.

2557776777552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83145 (or 83136 counting only the distinct ones).

The product of its digits is 1764735000, while the sum is 72.

The spelling of 2557776777552 in words is "two trillion, five hundred fifty-seven billion, seven hundred seventy-six million, seven hundred seventy-seven thousand, five hundred fifty-two".