202501222560 has 768 divisors, whose sum is σ = 875284945920. Its totient is φ = 42580131840.

The previous prime is 202501222457. The next prime is 202501222571. The reversal of 202501222560 is 65222105202.

202501222560 is a `hidden beast` number, since 20 + 2 + 50 + 12 + 22 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146633070 + ... + 146634450.

It is an arithmetic number, because the mean of its divisors is an integer number (1139693940).

Almost surely, 2^202501222560 is an apocalyptic number.

202501222560 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 202501222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437642472960).

202501222560 is an abundant number, since it is smaller than the sum of its proper divisors (672783723360).

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

202501222560 is a wasteful number, since it uses less digits than its factorization.

202501222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 202501222560 its reverse (65222105202), we get a palindrome (267723327762).

The spelling of 202501222560 in words is "two hundred two billion, five hundred one million, two hundred twenty-two thousand, five hundred sixty".