16157271820800 has 480 divisors, whose sum is σ = 60105099884544. Its totient is φ = 3790559232000.

The previous prime is 16157271820777. The next prime is 16157271820819. The reversal of 16157271820800 is 802817275161.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×16157271820800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16157271820800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12477447 + ... + 13711353.

Almost surely, 2^{16157271820800} is an apocalyptic number.

16157271820800 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 16157271820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30052549942272).

16157271820800 is an abundant number, since it is smaller than the sum of its proper divisors (43947828063744).

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

16157271820800 is a wasteful number, since it uses less digits than its factorization.

16157271820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233980 (or 1233959 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 48.

The spelling of 16157271820800 in words is "sixteen trillion, one hundred fifty-seven billion, two hundred seventy-one million, eight hundred twenty thousand, eight hundred".