15129564450 has 576 divisors, whose sum is σ = 53014321152. Its totient is φ = 2767564800.

The previous prime is 15129564419. The next prime is 15129564479. The reversal of 15129564450 is 5446592151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44894682 + ... + 44895018.

It is an arithmetic number, because the mean of its divisors is an integer number (92038752).

Almost surely, 2^15129564450 is an apocalyptic number.

15129564450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15129564450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26507160576).

15129564450 is an abundant number, since it is smaller than the sum of its proper divisors (37884756702).

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

15129564450 is a wasteful number, since it uses less digits than its factorization.

15129564450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 15129564450 in words is "fifteen billion, one hundred twenty-nine million, five hundred sixty-four thousand, four hundred fifty".