11625881585220 has 768 divisors, whose sum is σ = 42203234304000. Its totient is φ = 2602352738304.

The previous prime is 11625881585159. The next prime is 11625881585231. The reversal of 11625881585220 is 2258518852611.

11625881585220 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 58 + 8 + 1 + 585 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×11625881585220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 26482645761 + ... + 26482646199.

It is an arithmetic number, because the mean of its divisors is an integer number (54952128000).

Almost surely, 2^{11625881585220} is an apocalyptic number.

11625881585220 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 11625881585220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21101617152000).

11625881585220 is an abundant number, since it is smaller than the sum of its proper divisors (30577352718780).

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

11625881585220 is a wasteful number, since it uses less digits than its factorization.

11625881585220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 11625881585220 in words is "eleven trillion, six hundred twenty-five billion, eight hundred eighty-one million, five hundred eighty-five thousand, two hundred twenty".