12450995585280 has 3888 divisors, whose sum is σ = 57392489516544. Its totient is φ = 2573440450560.

The previous prime is 12450995585263. The next prime is 12450995585291. The reversal of 12450995585280 is 8258559905421.

12450995585280 is a `hidden beast` number, since 1 + 2 + 4 + 50 + 9 + 9 + 5 + 58 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 170561583324 + ... + 170561583396.

Almost surely, 2^{12450995585280} is an apocalyptic number.

12450995585280 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 12450995585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28696244758272).

12450995585280 is an abundant number, since it is smaller than the sum of its proper divisors (44941493931264).

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

12450995585280 is an equidigital number, since it uses as much as digits as its factorization.

12450995585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 63.

The spelling of 12450995585280 in words is "twelve trillion, four hundred fifty billion, nine hundred ninety-five million, five hundred eighty-five thousand, two hundred eighty".