16403251122540 has 288 divisors, whose sum is σ = 51987793201344. Its totient is φ = 4182450370560.

The previous prime is 16403251122523. The next prime is 16403251122571. The reversal of 16403251122540 is 4522115230461.

16403251122540 is a `hidden beast` number, since 1 + 6 + 40 + 3 + 2 + 51 + 1 + 22 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16403251122495 and 16403251122504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187814962 + ... + 187902278.

It is an arithmetic number, because the mean of its divisors is an integer number (180513170838).

Almost surely, 2^{16403251122540} is an apocalyptic number.

16403251122540 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 16403251122540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25993896600672).

16403251122540 is an abundant number, since it is smaller than the sum of its proper divisors (35584542078804).

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

16403251122540 is a wasteful number, since it uses less digits than its factorization.

16403251122540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87857 (or 87852 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 16403251122540 in words is "sixteen trillion, four hundred three billion, two hundred fifty-one million, one hundred twenty-two thousand, five hundred forty".