11700880629025 has 81 divisors (see below), whose sum is σ = 17932262658219. Its totient is φ = 7550179176960.

The previous prime is 11700880629023. The next prime is 11700880629029. The reversal of 11700880629025 is 52092608800711.

It is a happy number.

The square root of 11700880629025 is 3420655.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10780984800481 + 919895828544 = 3283441^2 + 959112^2 .

It is not a de Polignac number, because 11700880629025 - 2¹ = 11700880629023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 11700880629025.

It is not an unprimeable number, because it can be changed into a prime (11700880629023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2035286851 + ... + 2035292599.

Almost surely, 2^{11700880629025} is an apocalyptic number.

11700880629025 is the 3420655-th square number.

11700880629025 is the 1710328-th centered octagonal number.

It is an amenable number.

11700880629025 is a deficient number, since it is larger than the sum of its proper divisors (6231382029194).

11700880629025 is an frugal number, since it uses more digits than its factorization.

11700880629025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11556 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 11700880629025 by its sum of digits (49), we get a square (573343150822225 = 23944585²).

11700880629025 divided by its sum of digits (49) gives a square (238793482225 = 488665²).

The spelling of 11700880629025 in words is "eleven trillion, seven hundred billion, eight hundred eighty million, six hundred twenty-nine thousand, twenty-five".