16157226292800 has 336 divisors, whose sum is σ = 55830672590400. Its totient is φ = 4079517696000.

The previous prime is 16157226292751. The next prime is 16157226292813. The reversal of 16157226292800 is 829262275161.

It is a super-2 number, since 2×16157226292800² (a number of 27 digits) contains 22 as substring.

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, 164202016 + ... + 164300384.

Almost surely, 2^{16157226292800} is an apocalyptic number.

16157226292800 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 16157226292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27915336295200).

16157226292800 is an abundant number, since it is smaller than the sum of its proper divisors (39673446297600).

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

16157226292800 is a wasteful number, since it uses less digits than its factorization.

16157226292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100214 (or 100199 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 16157226292800 in words is "sixteen trillion, one hundred fifty-seven billion, two hundred twenty-six million, two hundred ninety-two thousand, eight hundred".