15434052480 has 1536 divisors, whose sum is σ = 74239027200. Its totient is φ = 2854748160.

The previous prime is 15434052451. The next prime is 15434052481. The reversal of 15434052480 is 8425043451.

It is a happy number.

15434052480 is a `hidden beast` number, since 1 + 5 + 4 + 3 + 405 + 248 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15434052481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173416276 + ... + 173416364.

It is an arithmetic number, because the mean of its divisors is an integer number (48332700).

Almost surely, 2^15434052480 is an apocalyptic number.

15434052480 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 15434052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37119513600).

15434052480 is an abundant number, since it is smaller than the sum of its proper divisors (58804974720).

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

15434052480 is a wasteful number, since it uses less digits than its factorization.

15434052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 15434052480 in words is "fifteen billion, four hundred thirty-four million, fifty-two thousand, four hundred eighty".