13575276000 has 960 divisors, whose sum is σ = 58736373696. Its totient is φ = 3027456000.

The previous prime is 13575275983. The next prime is 13575276007. The reversal of 13575276000 is 67257531.

13575276000 is a `hidden beast` number, since 1 + 3 + 575 + 27 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13575276007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46331854 + ... + 46332146.

Almost surely, 2^13575276000 is an apocalyptic number.

13575276000 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 13575276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29368186848).

13575276000 is an abundant number, since it is smaller than the sum of its proper divisors (45161097696).

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

13575276000 is a wasteful number, since it uses less digits than its factorization.

13575276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 13575276000 in words is "thirteen billion, five hundred seventy-five million, two hundred seventy-six thousand".