10049825625840 has 1920 divisors, whose sum is σ = 47423814681600. Its totient is φ = 1922904023040.

The previous prime is 10049825625839. The next prime is 10049825625857. The reversal of 10049825625840 is 4852652894001.

10049825625840 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 8 + 2 + 5 + 625 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11699447331 + ... + 11699448189.

It is an arithmetic number, because the mean of its divisors is an integer number (24699903480).

Almost surely, 2^{10049825625840} is an apocalyptic number.

10049825625840 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 10049825625840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23711907340800).

10049825625840 is an abundant number, since it is smaller than the sum of its proper divisors (37373989055760).

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

10049825625840 is a wasteful number, since it uses less digits than its factorization.

10049825625840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10049825625840 in words is "ten trillion, forty-nine billion, eight hundred twenty-five million, six hundred twenty-five thousand, eight hundred forty".