11152365420 has 96 divisors (see below), whose sum is σ = 35894089728. Its totient is φ = 2534360832.

The previous prime is 11152365409. The next prime is 11152365431. The reversal of 11152365420 is 2456325111.

It is an interprime number because it is at equal distance from previous prime (11152365409) and next prime (11152365431).

It is a super-2 number, since 2×11152365420² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 4084 + ... + 149403.

It is an arithmetic number, because the mean of its divisors is an integer number (373896768).

Almost surely, 2^11152365420 is an apocalyptic number.

11152365420 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 11152365420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17947044864).

11152365420 is an abundant number, since it is smaller than the sum of its proper divisors (24741724308).

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

11152365420 is a wasteful number, since it uses less digits than its factorization.

11152365420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153679 (or 153677 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 11152365420 in words is "eleven billion, one hundred fifty-two million, three hundred sixty-five thousand, four hundred twenty".