10597041000 has 1024 divisors, whose sum is σ = 47803392000. Its totient is φ = 2108851200.

The previous prime is 10597040983. The next prime is 10597041011. The reversal of 10597041000 is 14079501.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×10597041000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46682887 + ... + 46683113.

It is an arithmetic number, because the mean of its divisors is an integer number (46683000).

Almost surely, 2^10597041000 is an apocalyptic number.

10597041000 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 10597041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901696000).

10597041000 is an abundant number, since it is smaller than the sum of its proper divisors (37206351000).

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

10597041000 is a wasteful number, since it uses less digits than its factorization.

10597041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 10597041000 in words is "ten billion, five hundred ninety-seven million, forty-one thousand".