5126254503552 has 1152 divisors, whose sum is σ = 19527909710400. Its totient is φ = 1275851243520.

The previous prime is 5126254503529. The next prime is 5126254503569. The reversal of 5126254503552 is 2553054526215.

5126254503552 is a `hidden beast` number, since 5 + 1 + 26 + 2 + 545 + 0 + 35 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 5126254503498 and 5126254503507.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4698674527 + ... + 4698675617.

Almost surely, 2^{5126254503552} is an apocalyptic number.

5126254503552 is a gapful number since it is divisible by the number (52) 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 5126254503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763954855200).

5126254503552 is an abundant number, since it is smaller than the sum of its proper divisors (14401655206848).

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

5126254503552 is a wasteful number, since it uses less digits than its factorization.

5126254503552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 5126254503552 in words is "five trillion, one hundred twenty-six billion, two hundred fifty-four million, five hundred three thousand, five hundred fifty-two".