221555507513340 has 288 divisors, whose sum is σ = 847798419170304. Its totient is φ = 42496161200640.

The previous prime is 221555507513303. The next prime is 221555507513377. The reversal of 221555507513340 is 43315705555122.

221555507513340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221555507513303) and next prime (221555507513377).

It is a self number, because there is not a number n which added to its sum of digits gives 221555507513340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263072644 + ... + 263913483.

It is an arithmetic number, because the mean of its divisors is an integer number (2943744511008).

Almost surely, 2^{221555507513340} is an apocalyptic number.

221555507513340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221555507513340 is an abundant number, since it is smaller than the sum of its proper divisors (626242911656964).

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

221555507513340 is a wasteful number, since it uses less digits than its factorization.

221555507513340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526986177 (or 526986168 counting only the distinct ones).

The product of its (nonzero) digits is 3150000, while the sum is 48.

The spelling of 221555507513340 in words is "two hundred twenty-one trillion, five hundred fifty-five billion, five hundred seven million, five hundred thirteen thousand, three hundred forty".