11250507420 has 192 divisors, whose sum is σ = 36351665280. Its totient is φ = 2886451200.

The previous prime is 11250507413. The next prime is 11250507427. The reversal of 11250507420 is 2470505211.

11250507420 is a `hidden beast` number, since 112 + 5 + 0 + 507 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11250507413) and next prime (11250507427).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11250507427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1612740 + ... + 1619700.

It is an arithmetic number, because the mean of its divisors is an integer number (189331590).

Almost surely, 2^11250507420 is an apocalyptic number.

11250507420 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 11250507420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175832640).

11250507420 is an abundant number, since it is smaller than the sum of its proper divisors (25101157860).

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

11250507420 is a wasteful number, since it uses less digits than its factorization.

11250507420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7085 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 11250507420 in words is "eleven billion, two hundred fifty million, five hundred seven thousand, four hundred twenty".