15479735040 has 1080 divisors, whose sum is σ = 70543729872. Its totient is φ = 3204956160.

The previous prime is 15479734993. The next prime is 15479735059. The reversal of 15479735040 is 4053797451.

15479735040 is a `hidden beast` number, since 1 + 5 + 4 + 79 + 73 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55883382 + ... + 55883658.

Almost surely, 2^15479735040 is an apocalyptic number.

15479735040 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 15479735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35271864936).

15479735040 is an abundant number, since it is smaller than the sum of its proper divisors (55063994832).

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

15479735040 is a wasteful number, since it uses less digits than its factorization.

15479735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 15479735040 in words is "fifteen billion, four hundred seventy-nine million, seven hundred thirty-five thousand, forty".