11252375820 has 240 divisors, whose sum is σ = 42715632960. Its totient is φ = 2420637696.

The previous prime is 11252375807. The next prime is 11252375881. The reversal of 11252375820 is 2857325211.

11252375820 is a `hidden beast` number, since 11 + 252 + 375 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163596 + ... + 221964.

It is an arithmetic number, because the mean of its divisors is an integer number (177981804).

Almost surely, 2^11252375820 is an apocalyptic number.

11252375820 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 11252375820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21357816480).

11252375820 is an abundant number, since it is smaller than the sum of its proper divisors (31463257140).

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

11252375820 is a wasteful number, since it uses less digits than its factorization.

11252375820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58414 (or 58403 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 11252375820 in words is "eleven billion, two hundred fifty-two million, three hundred seventy-five thousand, eight hundred twenty".