514321920000 has 1040 divisors, whose sum is σ = 2178108782080. Its totient is φ = 117448704000.

The previous prime is 514321919963. The next prime is 514321920011. The reversal of 514321920000 is 29123415.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 483839469 + ... + 483840531.

Almost surely, 2^514321920000 is an apocalyptic number.

514321920000 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 514321920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089054391040).

514321920000 is an abundant number, since it is smaller than the sum of its proper divisors (1663786862080).

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

514321920000 is an equidigital number, since it uses as much as digits as its factorization.

514321920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 514321920000 in words is "five hundred fourteen billion, three hundred twenty-one million, nine hundred twenty thousand".