221201052556400 has 240 divisors, whose sum is σ = 626979717396480. Its totient is φ = 73390065638400.

The previous prime is 221201052556373. The next prime is 221201052556423. The reversal of 221201052556400 is 4655250102122.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 2013444671 + ... + 2013554529.

It is an arithmetic number, because the mean of its divisors is an integer number (2612415489152).

Almost surely, 2^{221201052556400} is an apocalyptic number.

221201052556400 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 221201052556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313489858698240).

221201052556400 is an abundant number, since it is smaller than the sum of its proper divisors (405778664840080).

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

221201052556400 is a wasteful number, since it uses less digits than its factorization.

221201052556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133112 (or 133101 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 221201052556400 in words is "two hundred twenty-one trillion, two hundred one billion, fifty-two million, five hundred fifty-six thousand, four hundred".