19130630820840 has 1536 divisors, whose sum is σ = 83876083200000. Its totient is φ = 3738180741120.

The previous prime is 19130630820809. The next prime is 19130630820881. The reversal of 19130630820840 is 4802803603191.

19130630820840 is a `hidden beast` number, since 1 + 9 + 1 + 3 + 0 + 630 + 8 + 2 + 0 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3587214814 + ... + 3587220146.

It is an arithmetic number, because the mean of its divisors is an integer number (54606825000).

Almost surely, 2^{19130630820840} is an apocalyptic number.

19130630820840 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 19130630820840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41938041600000).

19130630820840 is an abundant number, since it is smaller than the sum of its proper divisors (64745452379160).

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

19130630820840 is a wasteful number, since it uses less digits than its factorization.

19130630820840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 19130630820840 in words is "nineteen trillion, one hundred thirty billion, six hundred thirty million, eight hundred twenty thousand, eight hundred forty".