19009977480 has 768 divisors, whose sum is σ = 74673930240. Its totient is φ = 4311014400.

The previous prime is 19009977479. The next prime is 19009977491. The reversal of 19009977480 is 8477990091.

19009977480 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 99 + 77 + 480 = 666.

It is a super-2 number, since 2×19009977480² (a number of 21 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 90094575 + ... + 90094785.

It is an arithmetic number, because the mean of its divisors is an integer number (97231680).

Almost surely, 2^19009977480 is an apocalyptic number.

19009977480 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 19009977480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37336965120).

19009977480 is an abundant number, since it is smaller than the sum of its proper divisors (55663952760).

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

19009977480 is a wasteful number, since it uses less digits than its factorization.

19009977480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 19009977480 in words is "nineteen billion, nine million, nine hundred seventy-seven thousand, four hundred eighty".