11625872280 has 256 divisors, whose sum is σ = 40859458560. Its totient is φ = 2614886400.

The previous prime is 11625872257. The next prime is 11625872281. The reversal of 11625872280 is 8227852611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11625872281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1589592 + ... + 1596888.

It is an arithmetic number, because the mean of its divisors is an integer number (159607260).

Almost surely, 2^11625872280 is an apocalyptic number.

11625872280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11625872280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20429729280).

11625872280 is an abundant number, since it is smaller than the sum of its proper divisors (29233586280).

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

11625872280 is a wasteful number, since it uses less digits than its factorization.

11625872280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 11625872280 in words is "eleven billion, six hundred twenty-five million, eight hundred seventy-two thousand, two hundred eighty".