5001006254400 has 1008 divisors, whose sum is σ = 20294444072448. Its totient is φ = 1159059456000.

The previous prime is 5001006254371. The next prime is 5001006254401. The reversal of 5001006254400 is 44526001005.

5001006254400 is a `hidden beast` number, since 5 + 0 + 0 + 1 + 0 + 0 + 6 + 254 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5001006254401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 214706755 + ... + 214730045.

It is an arithmetic number, because the mean of its divisors is an integer number (20133377056).

Almost surely, 2^{5001006254400} is an apocalyptic number.

5001006254400 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 5001006254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10147222036224).

5001006254400 is an abundant number, since it is smaller than the sum of its proper divisors (15293437818048).

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

5001006254400 is a wasteful number, since it uses less digits than its factorization.

5001006254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23400 (or 23382 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 5001006254400 in words is "five trillion, one billion, six million, two hundred fifty-four thousand, four hundred".