2056556764900 has 81 divisors (see below), whose sum is σ = 4905689082427. Its totient is φ = 747781460800.

The previous prime is 2056556764897. The next prime is 2056556764903. The reversal of 2056556764900 is 94676556502.

The square root of 2056556764900 is 1434070.

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

It is an interprime number because it is at equal distance from previous prime (2056556764897) and next prime (2056556764903).

It can be written as a sum of positive squares in 4 ways, for example, as 3090692836 + 2053466072064 = 55594^2 + 1432992^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2056556764903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 157741182 + ... + 157754218.

Almost surely, 2^{2056556764900} is an apocalyptic number.

2056556764900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2056556764900 is the 1434070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056556764900

2056556764900 is an abundant number, since it is smaller than the sum of its proper divisors (2849132317527).

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

2056556764900 is an equidigital number, since it uses as much as digits as its factorization.

2056556764900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26110 (or 13055 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 2056556764900 in words is "two trillion, fifty-six billion, five hundred fifty-six million, seven hundred sixty-four thousand, nine hundred".