15838920468 has 480 divisors, whose sum is σ = 53427838464. Its totient is φ = 3985293312.

The previous prime is 15838920403. The next prime is 15838920529. The reversal of 15838920468 is 86402983851.

15838920468 is a `hidden beast` number, since 1 + 5 + 83 + 89 + 20 + 468 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46999596 + ... + 46999932.

Almost surely, 2^15838920468 is an apocalyptic number.

15838920468 is a gapful number since it is divisible by the number (18) 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 15838920468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26713919232).

15838920468 is an abundant number, since it is smaller than the sum of its proper divisors (37588917996).

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

15838920468 is a wasteful number, since it uses less digits than its factorization.

15838920468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 15838920468 in words is "fifteen billion, eight hundred thirty-eight million, nine hundred twenty thousand, four hundred sixty-eight".