16377137078880 has 384 divisors, whose sum is σ = 56400086937600. Its totient is φ = 3976655339520.

The previous prime is 16377137078831. The next prime is 16377137078923. The reversal of 16377137078880 is 8887073177361.

It is a super-2 number, since 2×16377137078880² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1289836692 + ... + 1289849388.

It is an arithmetic number, because the mean of its divisors is an integer number (146875226400).

Almost surely, 2^{16377137078880} is an apocalyptic number.

16377137078880 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 16377137078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200043468800).

16377137078880 is an abundant number, since it is smaller than the sum of its proper divisors (40022949858720).

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

16377137078880 is a wasteful number, since it uses less digits than its factorization.

16377137078880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17862 (or 17854 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 66.

The spelling of 16377137078880 in words is "sixteen trillion, three hundred seventy-seven billion, one hundred thirty-seven million, seventy-eight thousand, eight hundred eighty".