16159302680400 has 1440 divisors, whose sum is σ = 64336789610496. Its totient is φ = 3720245760000.

The previous prime is 16159302680393. The next prime is 16159302680413. The reversal of 16159302680400 is 408620395161.

16159302680400 is a `hidden beast` number, since 1 + 6 + 159 + 30 + 2 + 68 + 0 + 400 = 666.

It is a super-2 number, since 2×16159302680400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34602360967 + ... + 34602361433.

Almost surely, 2^{16159302680400} is an apocalyptic number.

16159302680400 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 16159302680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32168394805248).

16159302680400 is an abundant number, since it is smaller than the sum of its proper divisors (48177486930096).

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

16159302680400 is a wasteful number, since it uses less digits than its factorization.

16159302680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 16159302680400 in words is "sixteen trillion, one hundred fifty-nine billion, three hundred two million, six hundred eighty thousand, four hundred".