10290672000 has 1024 divisors, whose sum is σ = 44910028800. Its totient is φ = 2267136000.

The previous prime is 10290671987. The next prime is 10290672013. The reversal of 10290672000 is 27609201.

It is an interprime number because it is at equal distance from previous prime (10290671987) and next prime (10290672013).

It is a super-3 number, since 3×10290672000³ (a number of 31 digits) contains 333 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 127 ways as a sum of consecutive naturals, for example, 123983959 + ... + 123984041.

It is an arithmetic number, because the mean of its divisors is an integer number (43857450).

Almost surely, 2^10290672000 is an apocalyptic number.

10290672000 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 10290672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455014400).

10290672000 is an abundant number, since it is smaller than the sum of its proper divisors (34619356800).

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

10290672000 is an equidigital number, since it uses as much as digits as its factorization.

10290672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10290672000 in words is "ten billion, two hundred ninety million, six hundred seventy-two thousand".