10498032000 has 512 divisors, whose sum is σ = 40734720000. Its totient is φ = 2650060800.

The previous prime is 10498031977. The next prime is 10498032053. The reversal of 10498032000 is 23089401.

It is a super-2 number, since 2×10498032000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8207361 + ... + 8208639.

It is an arithmetic number, because the mean of its divisors is an integer number (79560000).

Almost surely, 2^10498032000 is an apocalyptic number.

10498032000 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 10498032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367360000).

10498032000 is an abundant number, since it is smaller than the sum of its proper divisors (30236688000).

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

10498032000 is a wasteful number, since it uses less digits than its factorization.

10498032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10498032000 in words is "ten billion, four hundred ninety-eight million, thirty-two thousand".