11967903561420 has 144 divisors (see below), whose sum is σ = 37992571737120. Its totient is φ = 3162161534976.

The previous prime is 11967903561409. The next prime is 11967903561443. The reversal of 11967903561420 is 2416530976911.

11967903561420 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 79 + 0 + 3 + 561 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10766277 + ... + 11825756.

It is an arithmetic number, because the mean of its divisors is an integer number (263837303730).

Almost surely, 2^{11967903561420} is an apocalyptic number.

11967903561420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11967903561420 is an abundant number, since it is smaller than the sum of its proper divisors (26024668175700).

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

11967903561420 is a wasteful number, since it uses less digits than its factorization.

11967903561420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22592166 (or 22592152 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 11967903561420 in words is "eleven trillion, nine hundred sixty-seven billion, nine hundred three million, five hundred sixty-one thousand, four hundred twenty".