11812748640 has 768 divisors, whose sum is σ = 48910417920. Its totient is φ = 2325012480.

The previous prime is 11812748587. The next prime is 11812748653. The reversal of 11812748640 is 4684721811.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11812748592 and 11812748601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110399467 + ... + 110399573.

It is an arithmetic number, because the mean of its divisors is an integer number (63685440).

Almost surely, 2^11812748640 is an apocalyptic number.

11812748640 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 11812748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455208960).

11812748640 is an abundant number, since it is smaller than the sum of its proper divisors (37097669280).

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

11812748640 is a wasteful number, since it uses less digits than its factorization.

11812748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 11812748640 in words is "eleven billion, eight hundred twelve million, seven hundred forty-eight thousand, six hundred forty".