16126793406900 has 360 divisors, whose sum is σ = 57124199858880. Its totient is φ = 3903007680000.

The previous prime is 16126793406883. The next prime is 16126793406917. The reversal of 16126793406900 is 960439762161.

16126793406900 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 67 + 93 + 406 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16126793406883) and next prime (16126793406917).

It is a super-2 number, since 2×16126793406900² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53398521 + ... + 53699679.

Almost surely, 2^{16126793406900} is an apocalyptic number.

16126793406900 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 16126793406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28562099929440).

16126793406900 is an abundant number, since it is smaller than the sum of its proper divisors (40997406451980).

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

16126793406900 is a wasteful number, since it uses less digits than its factorization.

16126793406900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301797 (or 301781 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 16126793406900 in words is "sixteen trillion, one hundred twenty-six billion, seven hundred ninety-three million, four hundred six thousand, nine hundred".