513786240000 has 2200 divisors, whose sum is σ = 2256325532208. Its totient is φ = 115015680000.

The previous prime is 513786239971. The next prime is 513786240001. The reversal of 513786240000 is 42687315.

It is a tau number, because it is divible by the number of its divisors (2200).

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 (513786240001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 9694079974 + ... + 9694080026.

Almost surely, 2^513786240000 is an apocalyptic number.

513786240000 is a gapful number since it is divisible by the number (50) 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 513786240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128162766104).

513786240000 is an abundant number, since it is smaller than the sum of its proper divisors (1742539292208).

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

513786240000 is a wasteful number, since it uses less digits than its factorization.

513786240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 513786240000 in words is "five hundred thirteen billion, seven hundred eighty-six million, two hundred forty thousand".