5141504256000 has 768 divisors, whose sum is σ = 20181887631360. Its totient is φ = 1137254400000.

The previous prime is 5141504255933. The next prime is 5141504256029. The reversal of 5141504256000 is 6524051415.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×5141504256000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166640575 + ... + 166671425.

It is an arithmetic number, because the mean of its divisors is an integer number (26278499520).

Almost surely, 2^{5141504256000} is an apocalyptic number.

5141504256000 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 5141504256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090943815680).

5141504256000 is an abundant number, since it is smaller than the sum of its proper divisors (15040383375360).

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

5141504256000 is a wasteful number, since it uses less digits than its factorization.

5141504256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30929 (or 30899 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 5141504256000 in words is "five trillion, one hundred forty-one billion, five hundred four million, two hundred fifty-six thousand".