11860761600 has 198 divisors, whose sum is σ = 42467962680. Its totient is φ = 3162808320.

The previous prime is 11860761593. The next prime is 11860761641. The reversal of 11860761600 is 616706811.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 204661 + ... + 256139.

It is an arithmetic number, because the mean of its divisors is an integer number (214484660).

Almost surely, 2^11860761600 is an apocalyptic number.

11860761600 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 11860761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21233981340).

11860761600 is an abundant number, since it is smaller than the sum of its proper divisors (30607201080).

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

11860761600 is a wasteful number, since it uses less digits than its factorization.

11860761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51515 (or 51489 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11860761600 in words is "eleven billion, eight hundred sixty million, seven hundred sixty-one thousand, six hundred".