11503347840 has 768 divisors, whose sum is σ = 46112976000. Its totient is φ = 2723217408.

The previous prime is 11503347839. The next prime is 11503347881. The reversal of 11503347840 is 4874330511.

It is a happy number.

11503347840 is a `hidden beast` number, since 1 + 150 + 33 + 478 + 4 + 0 = 666.

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 = 11503347795 and 11503347804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50232846 + ... + 50233074.

Almost surely, 2^11503347840 is an apocalyptic number.

11503347840 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 11503347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23056488000).

11503347840 is an abundant number, since it is smaller than the sum of its proper divisors (34609628160).

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

11503347840 is a wasteful number, since it uses less digits than its factorization.

11503347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11503347840 in words is "eleven billion, five hundred three million, three hundred forty-seven thousand, eight hundred forty".