16540121376 has 384 divisors, whose sum is σ = 53822361600. Its totient is φ = 4917749760.

The previous prime is 16540121341. The next prime is 16540121401. The reversal of 16540121376 is 67312104561.

16540121376 is a `hidden beast` number, since 165 + 4 + 0 + 121 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16540121376.

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, 26807020 + ... + 26807636.

It is an arithmetic number, because the mean of its divisors is an integer number (140162400).

Almost surely, 2^16540121376 is an apocalyptic number.

16540121376 is a gapful number since it is divisible by the number (16) 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 16540121376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26911180800).

16540121376 is an abundant number, since it is smaller than the sum of its proper divisors (37282240224).

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

16540121376 is a wasteful number, since it uses less digits than its factorization.

16540121376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 16540121376 in words is "sixteen billion, five hundred forty million, one hundred twenty-one thousand, three hundred seventy-six".