5129982950400 has 2376 divisors, whose sum is σ = 23597338312080. Its totient is φ = 1052835840000.

The previous prime is 5129982950377. The next prime is 5129982950429. The reversal of 5129982950400 is 40592899215.

5129982950400 is a `hidden beast` number, since 5 + 1 + 29 + 98 + 29 + 504 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12542745396 + ... + 12542745804.

Almost surely, 2^{5129982950400} is an apocalyptic number.

5129982950400 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 5129982950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11798669156040).

5129982950400 is an abundant number, since it is smaller than the sum of its proper divisors (18467355361680).

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

5129982950400 is a wasteful number, since it uses less digits than its factorization.

5129982950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 5129982950400 in words is "five trillion, one hundred twenty-nine billion, nine hundred eighty-two million, nine hundred fifty thousand, four hundred".