15481136240640 has 1536 divisors, whose sum is σ = 65729035008000. Its totient is φ = 3381460992000.

The previous prime is 15481136240543. The next prime is 15481136240651. The reversal of 15481136240640 is 4604263118451.

15481136240640 is a `hidden beast` number, since 1 + 5 + 4 + 8 + 1 + 13 + 624 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5668668075 + ... + 5668670805.

It is an arithmetic number, because the mean of its divisors is an integer number (42792340500).

Almost surely, 2^{15481136240640} is an apocalyptic number.

15481136240640 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 15481136240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32864517504000).

15481136240640 is an abundant number, since it is smaller than the sum of its proper divisors (50247898767360).

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

15481136240640 is a wasteful number, since it uses less digits than its factorization.

15481136240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 15481136240640 in words is "fifteen trillion, four hundred eighty-one billion, one hundred thirty-six million, two hundred forty thousand, six hundred forty".