10780091723025 has 27 divisors (see below), whose sum is σ = 19308430275771. Its totient is φ = 5749355985840.

The previous prime is 10780091723017. The next prime is 10780091723029. The reversal of 10780091723025 is 52032719008701.

The square root of 10780091723025 is 3283305.

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

It can be written as a sum of positive squares in only one way, i.e., 3880833020289 + 6899258702736 = 1969983^2 + 2626644^2 .

It is not a de Polignac number, because 10780091723025 - 2³ = 10780091723017 is a prime.

It is a super-2 number, since 2×10780091723025² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10780091723029) 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, 49140132 + ... + 49359018.

Almost surely, 2^{10780091723025} is an apocalyptic number.

10780091723025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10780091723025 is the 3283305-th square number.

10780091723025 is the 1641653-rd centered octagonal number.

It is an amenable number.

10780091723025 is a deficient number, since it is larger than the sum of its proper divisors (8528338552746).

10780091723025 is an frugal number, since it uses more digits than its factorization.

10780091723025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437790 (or 218895 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10780091723025 in words is "ten trillion, seven hundred eighty billion, ninety-one million, seven hundred twenty-three thousand, twenty-five".