12490073544960 has 1152 divisors, whose sum is σ = 51009606144000. Its totient is φ = 2862165196800.

The previous prime is 12490073544937. The next prime is 12490073544973. The reversal of 12490073544960 is 6944537009421.

12490073544960 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 0 + 0 + 7 + 3 + 544 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×12490073544960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12490073544897 and 12490073544906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3763202181 + ... + 3763205499.

It is an arithmetic number, because the mean of its divisors is an integer number (44279172000).

Almost surely, 2^{12490073544960} is an apocalyptic number.

12490073544960 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 12490073544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25504803072000).

12490073544960 is an abundant number, since it is smaller than the sum of its proper divisors (38519532599040).

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

12490073544960 is a wasteful number, since it uses less digits than its factorization.

12490073544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 12490073544960 in words is "twelve trillion, four hundred ninety billion, seventy-three million, five hundred forty-four thousand, nine hundred sixty".