10225538039808 has 1344 divisors, whose sum is σ = 38520469568000. Its totient is φ = 2696845197312.

The previous prime is 10225538039767. The next prime is 10225538039809. The reversal of 10225538039808 is 80893083552201.

10225538039808 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 553 + 8 + 0 + 3 + 9 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (10225538039809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786579849210 + ... + 786579849222.

Almost surely, 2^{10225538039808} is an apocalyptic number.

10225538039808 is a gapful number since it is divisible by the number (18) 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 10225538039808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19260234784000).

10225538039808 is an abundant number, since it is smaller than the sum of its proper divisors (28294931528192).

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

10225538039808 is an frugal number, since it uses more digits than its factorization.

10225538039808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 10225538039808 in words is "ten trillion, two hundred twenty-five billion, five hundred thirty-eight million, thirty-nine thousand, eight hundred eight".