11877419473920 has 5544 divisors, whose sum is σ = 61389952042272. Its totient is φ = 2144175390720.

The previous prime is 11877419473901. The next prime is 11877419473943. The reversal of 11877419473920 is 2937491477811.

11877419473920 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 74 + 1 + 9 + 473 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5544).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 698671733752 + ... + 698671733768.

Almost surely, 2^{11877419473920} is an apocalyptic number.

11877419473920 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 11877419473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30694976021136).

11877419473920 is an abundant number, since it is smaller than the sum of its proper divisors (49512532568352).

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

11877419473920 is a wasteful number, since it uses less digits than its factorization.

11877419473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 11877419473920 in words is "eleven trillion, eight hundred seventy-seven billion, four hundred nineteen million, four hundred seventy-three thousand, nine hundred twenty".