514740096000 has 2112 divisors, whose sum is σ = 2213149585920. Its totient is φ = 118244966400.

The previous prime is 514740095983. The next prime is 514740096023. The reversal of 514740096000 is 690047415.

514740096000 is a `hidden beast` number, since 5 + 1 + 4 + 7 + 40 + 0 + 9 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7682687967 + ... + 7682688033.

Almost surely, 2^514740096000 is an apocalyptic number.

514740096000 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 514740096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106574792960).

514740096000 is an abundant number, since it is smaller than the sum of its proper divisors (1698409489920).

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

514740096000 is a wasteful number, since it uses less digits than its factorization.

514740096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 514740096000 in words is "five hundred fourteen billion, seven hundred forty million, ninety-six thousand".