2857506253056 has 1701 divisors, whose sum is σ = 11028529810809. Its totient is φ = 736101789696.

The previous prime is 2857506253003. The next prime is 2857506253103. The reversal of 2857506253056 is 6503526057582.

It is a happy number.

The square root of 2857506253056 is 1690416.

It is a perfect power (a square), and thus also a powerful number.

2857506253056 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 5 + 0 + 625 + 3 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 422708025600 + 2434798227456 = 650160^2 + 1560384^2 .

It is a tau number, because it is divible by the number of its divisors (1701).

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 = 2857506252993 and 2857506253011.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 66453633771 + ... + 66453633813.

Almost surely, 2^{2857506253056} is an apocalyptic number.

2857506253056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2857506253056 is the 1690416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2857506253056

2857506253056 is an abundant number, since it is smaller than the sum of its proper divisors (8171023557753).

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

2857506253056 is an frugal number, since it uses more digits than its factorization.

2857506253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 2857506253056 in words is "two trillion, eight hundred fifty-seven billion, five hundred six million, two hundred fifty-three thousand, fifty-six".