10222887657600 has 1920 divisors, whose sum is σ = 41885185605120. Its totient is φ = 2443729305600.

The previous prime is 10222887657559. The next prime is 10222887657613. The reversal of 10222887657600 is 675678822201.

10222887657600 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 28 + 8 + 7 + 6 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9152092242 + ... + 9152093358.

It is an arithmetic number, because the mean of its divisors is an integer number (21815200836).

Almost surely, 2^{10222887657600} is an apocalyptic number.

10222887657600 is a gapful number since it is divisible by the number (10) 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 10222887657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20942592802560).

10222887657600 is an abundant number, since it is smaller than the sum of its proper divisors (31662297947520).

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

10222887657600 is a wasteful number, since it uses less digits than its factorization.

10222887657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10222887657600 in words is "ten trillion, two hundred twenty-two billion, eight hundred eighty-seven million, six hundred fifty-seven thousand, six hundred".