11607503040 has 448 divisors, whose sum is σ = 47033809920. Its totient is φ = 2639831040.

The previous prime is 11607502987. The next prime is 11607503113. The reversal of 11607503040 is 4030570611.

11607503040 is a `hidden beast` number, since 1 + 1 + 607 + 50 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 11607502995 and 11607503013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16994539 + ... + 16995221.

Almost surely, 2^11607503040 is an apocalyptic number.

11607503040 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 11607503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23516904960).

11607503040 is an abundant number, since it is smaller than the sum of its proper divisors (35426306880).

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

11607503040 is a wasteful number, since it uses less digits than its factorization.

11607503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11607503040 in words is "eleven billion, six hundred seven million, five hundred three thousand, forty".