10022655654660 has 192 divisors, whose sum is σ = 30727052697600. Its totient is φ = 2420830617600.

The previous prime is 10022655654653. The next prime is 10022655654667. The reversal of 10022655654660 is 6645655622001.

It is an interprime number because it is at equal distance from previous prime (10022655654653) and next prime (10022655654667).

It is not an unprimeable number, because it can be changed into a prime (10022655654667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202621011 + ... + 202670469.

It is an arithmetic number, because the mean of its divisors is an integer number (160036732800).

Almost surely, 2^{10022655654660} is an apocalyptic number.

10022655654660 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 10022655654660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15363526348800).

10022655654660 is an abundant number, since it is smaller than the sum of its proper divisors (20704397042940).

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

10022655654660 is a wasteful number, since it uses less digits than its factorization.

10022655654660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50602 (or 50600 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 10022655654660 in words is "ten trillion, twenty-two billion, six hundred fifty-five million, six hundred fifty-four thousand, six hundred sixty".