10472597637600 has 432 divisors, whose sum is σ = 40004711753328. Its totient is φ = 2372550082560.

The previous prime is 10472597637589. The next prime is 10472597637617. The reversal of 10472597637600 is 673679527401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12894762 + ... + 13682838.

It is an arithmetic number, because the mean of its divisors is an integer number (92603499429).

Almost surely, 2^{10472597637600} is an apocalyptic number.

10472597637600 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 10472597637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20002355876664).

10472597637600 is an abundant number, since it is smaller than the sum of its proper divisors (29532114115728).

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

10472597637600 is a wasteful number, since it uses less digits than its factorization.

10472597637600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788227 (or 788207 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The spelling of 10472597637600 in words is "ten trillion, four hundred seventy-two billion, five hundred ninety-seven million, six hundred thirty-seven thousand, six hundred".