11625370240 has 384 divisors, whose sum is σ = 32701656960. Its totient is φ = 3940147200.

The previous prime is 11625370213. The next prime is 11625370249. The reversal of 11625370240 is 4207352611.

It is not an unprimeable number, because it can be changed into a prime (11625370249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108648267 + ... + 108648373.

It is an arithmetic number, because the mean of its divisors is an integer number (85160565).

Almost surely, 2^11625370240 is an apocalyptic number.

11625370240 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 11625370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16350828480).

11625370240 is an abundant number, since it is smaller than the sum of its proper divisors (21076286720).

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

11625370240 is a wasteful number, since it uses less digits than its factorization.

11625370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 11625370240 in words is "eleven billion, six hundred twenty-five million, three hundred seventy thousand, two hundred forty".