11381213769600 has 192 divisors, whose sum is σ = 37908076518000. Its totient is φ = 3000889098240.

The previous prime is 11381213769593. The next prime is 11381213769649. The reversal of 11381213769600 is 696731218311.

It is a tau number, because it is divible by the number of its divisors (192).

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 11381213769600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5805955 + ... + 7514754.

Almost surely, 2^{11381213769600} is an apocalyptic number.

11381213769600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11381213769600 is an abundant number, since it is smaller than the sum of its proper divisors (26526862748400).

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

11381213769600 is a wasteful number, since it uses less digits than its factorization.

11381213769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13320825 (or 13320808 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 11381213769600 in words is "eleven trillion, three hundred eighty-one billion, two hundred thirteen million, seven hundred sixty-nine thousand, six hundred".