156427216780800 has 1200 divisors, whose sum is σ = 603938787162480. Its totient is φ = 35689442181120.

The previous prime is 156427216780771. The next prime is 156427216780841. The reversal of 156427216780800 is 8087612724651.

It is a tau number, because it is divible by the number of its divisors (1200).

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, 65368664404 + ... + 65368666796.

Almost surely, 2^{156427216780800} is an apocalyptic number.

156427216780800 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 156427216780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301969393581240).

156427216780800 is an abundant number, since it is smaller than the sum of its proper divisors (447511570381680).

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

156427216780800 is an frugal number, since it uses more digits than its factorization.

156427216780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 156427216780800 in words is "one hundred fifty-six trillion, four hundred twenty-seven billion, two hundred sixteen million, seven hundred eighty thousand, eight hundred".