5129156582400 has 264 divisors, whose sum is σ = 17844352074880. Its totient is φ = 1295786557440.

The previous prime is 5129156582369. The next prime is 5129156582443. The reversal of 5129156582400 is 42856519215.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5129156582400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298324 + ... + 3216723.

Almost surely, 2^{5129156582400} is an apocalyptic number.

5129156582400 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 5129156582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922176037440).

5129156582400 is an abundant number, since it is smaller than the sum of its proper divisors (12715195492480).

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

5129156582400 is a wasteful number, since it uses less digits than its factorization.

5129156582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515099 (or 3515076 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 5129156582400 in words is "five trillion, one hundred twenty-nine billion, one hundred fifty-six million, five hundred eighty-two thousand, four hundred".