5006429270400 has 768 divisors, whose sum is σ = 17550696683520. Its totient is φ = 1252122624000.

The previous prime is 5006429270387. The next prime is 5006429270413. The reversal of 5006429270400 is 40729246005.

It is an interprime number because it is at equal distance from previous prime (5006429270387) and next prime (5006429270413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3380437660 + ... + 3380439140.

It is an arithmetic number, because the mean of its divisors is an integer number (22852469640).

Almost surely, 2^{5006429270400} is an apocalyptic number.

5006429270400 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 5006429270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775348341760).

5006429270400 is an abundant number, since it is smaller than the sum of its proper divisors (12544267413120).

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

5006429270400 is a wasteful number, since it uses less digits than its factorization.

5006429270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 5006429270400 in words is "five trillion, six billion, four hundred twenty-nine million, two hundred seventy thousand, four hundred".