10427949153600 has 336 divisors, whose sum is σ = 37328758098240. Its totient is φ = 2527569100800.

The previous prime is 10427949153599. The next prime is 10427949153703. The reversal of 10427949153600 is 635194972401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422018046 + ... + 422042754.

It is an arithmetic number, because the mean of its divisors is an integer number (111097494340).

Almost surely, 2^{10427949153600} is an apocalyptic number.

10427949153600 is a gapful number since it is divisible by the number (10) 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 10427949153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18664379049120).

10427949153600 is an abundant number, since it is smaller than the sum of its proper divisors (26900808944640).

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

10427949153600 is a wasteful number, since it uses less digits than its factorization.

10427949153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32738 (or 32723 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 10427949153600 in words is "ten trillion, four hundred twenty-seven billion, nine hundred forty-nine million, one hundred fifty-three thousand, six hundred".