10002657027000 has 768 divisors, whose sum is σ = 36605248243200. Its totient is φ = 2265677568000.

The previous prime is 10002657026977. The next prime is 10002657027017. The reversal of 10002657027000 is 72075620001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 503471067 + ... + 503490933.

It is an arithmetic number, because the mean of its divisors is an integer number (47663083650).

Almost surely, 2^{10002657027000} is an apocalyptic number.

10002657027000 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 10002657027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18302624121600).

10002657027000 is an abundant number, since it is smaller than the sum of its proper divisors (26602591216200).

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

10002657027000 is a wasteful number, since it uses less digits than its factorization.

10002657027000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20005 (or 19980 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 10002657027000 in words is "ten trillion, two billion, six hundred fifty-seven million, twenty-seven thousand".