15480811817640 has 2304 divisors, whose sum is σ = 62011371502080. Its totient is φ = 3319034019840.

The previous prime is 15480811817633. The next prime is 15480811817671. The reversal of 15480811817640 is 4671811808451.

It is a happy number.

15480811817640 is a `hidden beast` number, since 1 + 5 + 480 + 8 + 11 + 81 + 76 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 159595998072 + ... + 159595998168.

It is an arithmetic number, because the mean of its divisors is an integer number (26914657770).

Almost surely, 2^{15480811817640} is an apocalyptic number.

15480811817640 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 15480811817640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31005685751040).

15480811817640 is an abundant number, since it is smaller than the sum of its proper divisors (46530559684440).

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

15480811817640 is a wasteful number, since it uses less digits than its factorization.

15480811817640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 15480811817640 in words is "fifteen trillion, four hundred eighty billion, eight hundred eleven million, eight hundred seventeen thousand, six hundred forty".