11506425840 has 1200 divisors, whose sum is σ = 52718054400. Its totient is φ = 2270840832.

The previous prime is 11506425839. The next prime is 11506425863. The reversal of 11506425840 is 4852460511.

It is a happy number.

11506425840 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 642 + 5 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×11506425840² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11506425795 and 11506425804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 145650921 + ... + 145650999.

It is an arithmetic number, because the mean of its divisors is an integer number (43931712).

Almost surely, 2^11506425840 is an apocalyptic number.

11506425840 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 11506425840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26359027200).

11506425840 is an abundant number, since it is smaller than the sum of its proper divisors (41211628560).

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

11506425840 is a wasteful number, since it uses less digits than its factorization.

11506425840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11506425840 in words is "eleven billion, five hundred six million, four hundred twenty-five thousand, eight hundred forty".