45877879111680 has 3360 divisors, whose sum is σ = 217490597710848. Its totient is φ = 8969099673600.

The previous prime is 45877879111663. The next prime is 45877879111721. The reversal of 45877879111680 is 8611197877854.

45877879111680 is a `hidden beast` number, since 458 + 7 + 7 + 8 + 7 + 9 + 1 + 1 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45877879111599 and 45877879111608.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 752096378850 + ... + 752096378910.

Almost surely, 2^{45877879111680} is an apocalyptic number.

45877879111680 is a gapful number since it is divisible by the number (40) 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 45877879111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108745298855424).

45877879111680 is an abundant number, since it is smaller than the sum of its proper divisors (171612718599168).

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

45877879111680 is an frugal number, since it uses more digits than its factorization.

45877879111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 72.

The spelling of 45877879111680 in words is "forty-five trillion, eight hundred seventy-seven billion, eight hundred seventy-nine million, one hundred eleven thousand, six hundred eighty".