11545602640 has 320 divisors, whose sum is σ = 32667909120. Its totient is φ = 3739115520.

The previous prime is 11545602617. The next prime is 11545602671. The reversal of 11545602640 is 4620654511.

It is a junction number, because it is equal to n+sod(n) for n = 11545602596 and 11545602605.

It is a congruent number.

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, 58607022 + ... + 58607218.

It is an arithmetic number, because the mean of its divisors is an integer number (102087216).

Almost surely, 2^11545602640 is an apocalyptic number.

11545602640 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 11545602640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333954560).

11545602640 is an abundant number, since it is smaller than the sum of its proper divisors (21122306480).

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

11545602640 is a wasteful number, since it uses less digits than its factorization.

11545602640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 11545602640 in words is "eleven billion, five hundred forty-five million, six hundred two thousand, six hundred forty".