514126664700 has 216 divisors, whose sum is σ = 1650357870336. Its totient is φ = 123471004800.

The previous prime is 514126664669. The next prime is 514126664741. The reversal of 514126664700 is 7466621415.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3817917 + ... + 3950283.

It is an arithmetic number, because the mean of its divisors is an integer number (7640545696).

Almost surely, 2^514126664700 is an apocalyptic number.

514126664700 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 514126664700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825178935168).

514126664700 is an abundant number, since it is smaller than the sum of its proper divisors (1136231205636).

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

514126664700 is a wasteful number, since it uses less digits than its factorization.

514126664700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132513 (or 132495 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 514126664700 in words is "five hundred fourteen billion, one hundred twenty-six million, six hundred sixty-four thousand, seven hundred".