11763897600 has 432 divisors, whose sum is σ = 47789635712. Its totient is φ = 2481684480.

The previous prime is 11763897599. The next prime is 11763897619. The reversal of 11763897600 is 679836711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11763897600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1743834 + ... + 1750566.

Almost surely, 2^11763897600 is an apocalyptic number.

11763897600 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 11763897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894817856).

11763897600 is an abundant number, since it is smaller than the sum of its proper divisors (36025738112).

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

11763897600 is a wasteful number, since it uses less digits than its factorization.

11763897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 11763897600 in words is "eleven billion, seven hundred sixty-three million, eight hundred ninety-seven thousand, six hundred".