11628007125 has 64 divisors (see below), whose sum is σ = 23277096960. Its totient is φ = 5035867200.

The previous prime is 11628007109. The next prime is 11628007141. The reversal of 11628007125 is 52170082611.

It is an interprime number because it is at equal distance from previous prime (11628007109) and next prime (11628007141).

It is not a de Polignac number, because 11628007125 - 2⁴ = 11628007109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66697 + ... + 166446.

It is an arithmetic number, because the mean of its divisors is an integer number (363704640).

Almost surely, 2^11628007125 is an apocalyptic number.

11628007125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11628007125 is an abundant number, since it is smaller than the sum of its proper divisors (11649089835).

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

11628007125 is a wasteful number, since it uses less digits than its factorization.

11628007125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233187 (or 233177 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

Adding to 11628007125 its reverse (52170082611), we get a palindrome (63798089736).

The spelling of 11628007125 in words is "eleven billion, six hundred twenty-eight million, seven thousand, one hundred twenty-five".