10206292992 has 176 divisors, whose sum is σ = 32919690240. Its totient is φ = 2744451072.

The previous prime is 10206292981. The next prime is 10206293021. The reversal of 10206292992 is 29929260201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351609 + ... + 379527.

Almost surely, 2^10206292992 is an apocalyptic number.

10206292992 is a gapful number since it is divisible by the number (12) 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 10206292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459845120).

10206292992 is an abundant number, since it is smaller than the sum of its proper divisors (22713397248).

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

10206292992 is a wasteful number, since it uses less digits than its factorization.

10206292992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27966 (or 27948 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 10206292992 in words is "ten billion, two hundred six million, two hundred ninety-two thousand, nine hundred ninety-two".