13153146209280 has 1584 divisors, whose sum is σ = 60268269210240. Its totient is φ = 2589126819840.

The previous prime is 13153146209251. The next prime is 13153146209327. The reversal of 13153146209280 is 8290264135131.

13153146209280 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 14 + 620 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 741556572 + ... + 741574308.

Almost surely, 2^{13153146209280} is an apocalyptic number.

13153146209280 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 13153146209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30134134605120).

13153146209280 is an abundant number, since it is smaller than the sum of its proper divisors (47115123000960).

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

13153146209280 is a wasteful number, since it uses less digits than its factorization.

13153146209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17816 (or 17784 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13153146209280 in words is "thirteen trillion, one hundred fifty-three billion, one hundred forty-six million, two hundred nine thousand, two hundred eighty".