10226198160 has 480 divisors, whose sum is σ = 37437603840. Its totient is φ = 2590963200.

The previous prime is 10226198159. The next prime is 10226198161. The reversal of 10226198160 is 6189162201.

10226198160 is a `hidden beast` number, since 1 + 0 + 22 + 619 + 8 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10226198159) and next prime (10226198161).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226198161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42787321 + ... + 42787559.

It is an arithmetic number, because the mean of its divisors is an integer number (77995008).

Almost surely, 2^10226198160 is an apocalyptic number.

10226198160 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 10226198160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718801920).

10226198160 is an abundant number, since it is smaller than the sum of its proper divisors (27211405680).

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

10226198160 is a wasteful number, since it uses less digits than its factorization.

10226198160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10226198160 in words is "ten billion, two hundred twenty-six million, one hundred ninety-eight thousand, one hundred sixty".