15540647040 has 288 divisors, whose sum is σ = 55740014460. Its totient is φ = 4143052800.

The previous prime is 15540647027. The next prime is 15540647051. The reversal of 15540647040 is 4074604551.

15540647040 is a `hidden beast` number, since 1 + 5 + 5 + 4 + 0 + 647 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15318517824 + 222129216 = 123768^2 + 14904^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 15540646986 and 15540647004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4197190 + ... + 4200890.

Almost surely, 2^15540647040 is an apocalyptic number.

15540647040 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 15540647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27870007230).

15540647040 is an abundant number, since it is smaller than the sum of its proper divisors (40199367420).

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

15540647040 is an frugal number, since it uses more digits than its factorization.

15540647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 15540647040 in words is "fifteen billion, five hundred forty million, six hundred forty-seven thousand, forty".