12515154563040 has 384 divisors, whose sum is σ = 40528259186688. Its totient is φ = 3244775761920.

The previous prime is 12515154563017. The next prime is 12515154563063. The reversal of 12515154563040 is 4036545151521.

It is an interprime number because it is at equal distance from previous prime (12515154563017) and next prime (12515154563063).

It is a junction number, because it is equal to n+sod(n) for n = 12515154562983 and 12515154563001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4080583587 + ... + 4080586653.

It is an arithmetic number, because the mean of its divisors is an integer number (105542341632).

Almost surely, 2^{12515154563040} is an apocalyptic number.

12515154563040 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 12515154563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20264129593344).

12515154563040 is an abundant number, since it is smaller than the sum of its proper divisors (28013104623648).

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

12515154563040 is a wasteful number, since it uses less digits than its factorization.

12515154563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 12515154563040 in words is "twelve trillion, five hundred fifteen billion, one hundred fifty-four million, five hundred sixty-three thousand, forty".