15420829248 has 560 divisors, whose sum is σ = 53875472640. Its totient is φ = 4311014400.

The previous prime is 15420829157. The next prime is 15420829271. The reversal of 15420829248 is 84292802451.

15420829248 is a `hidden beast` number, since 1 + 542 + 0 + 82 + 9 + 24 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46588443 + ... + 46588773.

Almost surely, 2^15420829248 is an apocalyptic number.

15420829248 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 15420829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26937736320).

15420829248 is an abundant number, since it is smaller than the sum of its proper divisors (38454643392).

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

15420829248 is a wasteful number, since it uses less digits than its factorization.

15420829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 15420829248 in words is "fifteen billion, four hundred twenty million, eight hundred twenty-nine thousand, two hundred forty-eight".