10385598263040 has 2592 divisors, whose sum is σ = 50658610464000. Its totient is φ = 1991438991360.

The previous prime is 10385598263009. The next prime is 10385598263063. The reversal of 10385598263040 is 4036289558301.

10385598263040 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 5 + 598 + 2 + 6 + 3 + 0 + 40 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3148103311 + ... + 3148106609.

It is an arithmetic number, because the mean of its divisors is an integer number (19544217000).

Almost surely, 2^{10385598263040} is an apocalyptic number.

10385598263040 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 10385598263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25329305232000).

10385598263040 is an abundant number, since it is smaller than the sum of its proper divisors (40273012200960).

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

10385598263040 is a wasteful number, since it uses less digits than its factorization.

10385598263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 10385598263040 in words is "ten trillion, three hundred eighty-five billion, five hundred ninety-eight million, two hundred sixty-three thousand, forty".