11687719477200 has 480 divisors, whose sum is σ = 42088072857600. Its totient is φ = 2750883379200.

The previous prime is 11687719477183. The next prime is 11687719477261. The reversal of 11687719477200 is 277491778611.

It is a hoax number, since the sum of its digits (60) 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1518078951 + ... + 1518086649.

It is an arithmetic number, because the mean of its divisors is an integer number (87683485120).

Almost surely, 2^{11687719477200} is an apocalyptic number.

11687719477200 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 11687719477200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21044036428800).

11687719477200 is an abundant number, since it is smaller than the sum of its proper divisors (30400353380400).

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

11687719477200 is a wasteful number, since it uses less digits than its factorization.

11687719477200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11987 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 60.

The spelling of 11687719477200 in words is "eleven trillion, six hundred eighty-seven billion, seven hundred nineteen million, four hundred seventy-seven thousand, two hundred".