10588214494000 has 640 divisors, whose sum is σ = 31002079739904. Its totient is φ = 3446000640000.

The previous prime is 10588214493979. The next prime is 10588214494021. The reversal of 10588214494000 is 49441288501.

It is an interprime number because it is at equal distance from previous prime (10588214493979) and next prime (10588214494021).

It is a super-2 number, since 2×10588214494000² (a number of 27 digits) contains 22 as substring.

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, 1958239297 + ... + 1958244703.

Almost surely, 2^{10588214494000} is an apocalyptic number.

10588214494000 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 10588214494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501039869952).

10588214494000 is an abundant number, since it is smaller than the sum of its proper divisors (20413865245904).

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

10588214494000 is a wasteful number, since it uses less digits than its factorization.

10588214494000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 10588214494000 in words is "ten trillion, five hundred eighty-eight billion, two hundred fourteen million, four hundred ninety-four thousand".