272401476022000 has 160 divisors (see below), whose sum is σ = 709449180096384. Its totient is φ = 100562595840000.

The previous prime is 272401476021811. The next prime is 272401476022037. The reversal of 272401476022000 is 220674104272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159074352 + ... + 160777648.

Almost surely, 2^{272401476022000} is an apocalyptic number.

272401476022000 is a gapful number since it is divisible by the number (20) 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 272401476022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354724590048192).

272401476022000 is an abundant number, since it is smaller than the sum of its proper divisors (437047704074384).

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

272401476022000 is a wasteful number, since it uses less digits than its factorization.

272401476022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709484 (or 1709468 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 272401476022000 in words is "two hundred seventy-two trillion, four hundred one billion, four hundred seventy-six million, twenty-two thousand".