11991741300 has 324 divisors, whose sum is σ = 47220290208. Its totient is φ = 2491632000.

The previous prime is 11991741277. The next prime is 11991741331. The reversal of 11991741300 is 314719911.

It is a super-2 number, since 2×11991741300² (a number of 21 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 754435 + ... + 770165.

Almost surely, 2^11991741300 is an apocalyptic number.

11991741300 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 11991741300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23610145104).

11991741300 is an abundant number, since it is smaller than the sum of its proper divisors (35228548908).

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

11991741300 is a wasteful number, since it uses less digits than its factorization.

11991741300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15780 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 11991741300 in words is "eleven billion, nine hundred ninety-one million, seven hundred forty-one thousand, three hundred".