11625666480 has 320 divisors, whose sum is σ = 42001597440. Its totient is φ = 2950041600.

The previous prime is 11625666463. The next prime is 11625666539. The reversal of 11625666480 is 8466652611.

It is a super-2 number, since 2×11625666480² (a number of 21 digits) contains 22 as substring.

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

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, 11972395 + ... + 11973365.

It is an arithmetic number, because the mean of its divisors is an integer number (131254992).

Almost surely, 2^11625666480 is an apocalyptic number.

11625666480 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 11625666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000798720).

11625666480 is an abundant number, since it is smaller than the sum of its proper divisors (30375930960).

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

11625666480 is a wasteful number, since it uses less digits than its factorization.

11625666480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11625666480 in words is "eleven billion, six hundred twenty-five million, six hundred sixty-six thousand, four hundred eighty".