11942920366080 has 1536 divisors, whose sum is σ = 44519349288960. Its totient is φ = 2706407424000.

The previous prime is 11942920366043. The next prime is 11942920366099. The reversal of 11942920366080 is 8066302924911.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62528378785 + ... + 62528378975.

It is an arithmetic number, because the mean of its divisors is an integer number (28983951360).

Almost surely, 2^{11942920366080} is an apocalyptic number.

11942920366080 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 11942920366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22259674644480).

11942920366080 is an abundant number, since it is smaller than the sum of its proper divisors (32576428922880).

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

11942920366080 is a wasteful number, since it uses less digits than its factorization.

11942920366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 11942920366080 in words is "eleven trillion, nine hundred forty-two billion, nine hundred twenty million, three hundred sixty-six thousand, eighty".