19225135226880 has 1120 divisors, whose sum is σ = 77617006714368. Its totient is φ = 4510030233600.

The previous prime is 19225135226851. The next prime is 19225135226903. The reversal of 19225135226880 is 8862253152291.

19225135226880 is a `hidden beast` number, since 1 + 9 + 2 + 2 + 51 + 3 + 522 + 68 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1131347664 + ... + 1131364656.

Almost surely, 2^{19225135226880} is an apocalyptic number.

19225135226880 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 19225135226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38808503357184).

19225135226880 is an abundant number, since it is smaller than the sum of its proper divisors (58391871487488).

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

19225135226880 is a wasteful number, since it uses less digits than its factorization.

19225135226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17078 (or 17045 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 19225135226880 in words is "nineteen trillion, two hundred twenty-five billion, one hundred thirty-five million, two hundred twenty-six thousand, eight hundred eighty".