221657156625660 has 288 divisors, whose sum is σ = 732186318269952. Its totient is φ = 49947584924160.

The previous prime is 221657156625647. The next prime is 221657156625719. The reversal of 221657156625660 is 66526651756122.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 221657156625594 and 221657156625603.

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, 4526084934 + ... + 4526133906.

It is an arithmetic number, because the mean of its divisors is an integer number (2542313605104).

Almost surely, 2^{221657156625660} is an apocalyptic number.

221657156625660 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 221657156625660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366093159134976).

221657156625660 is an abundant number, since it is smaller than the sum of its proper divisors (510529161644292).

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

221657156625660 is a wasteful number, since it uses less digits than its factorization.

221657156625660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70753 (or 70744 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 221657156625660 in words is "two hundred twenty-one trillion, six hundred fifty-seven billion, one hundred fifty-six million, six hundred twenty-five thousand, six hundred sixty".