15480435936 has 216 divisors, whose sum is σ = 49423162824. Its totient is φ = 4229998080.

The previous prime is 15480435917. The next prime is 15480435983. The reversal of 15480435936 is 63953408451.

15480435936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2485306 + ... + 2491526.

It is an arithmetic number, because the mean of its divisors is an integer number (228810939).

Almost surely, 2^15480435936 is an apocalyptic number.

15480435936 is a gapful number since it is divisible by the number (16) 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 15480435936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711581412).

15480435936 is an abundant number, since it is smaller than the sum of its proper divisors (33942726888).

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

15480435936 is a wasteful number, since it uses less digits than its factorization.

15480435936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 15480435936 in words is "fifteen billion, four hundred eighty million, four hundred thirty-five thousand, nine hundred thirty-six".