10165978240 has 256 divisors, whose sum is σ = 28291731840. Its totient is φ = 3452108800.

The previous prime is 10165978201. The next prime is 10165978259. The reversal of 10165978240 is 4287956101.

It is a super-2 number, since 2×10165978240² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20704395 + ... + 20704885.

Almost surely, 2^10165978240 is an apocalyptic number.

10165978240 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 10165978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14145865920).

10165978240 is an abundant number, since it is smaller than the sum of its proper divisors (18125753600).

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

10165978240 is a wasteful number, since it uses less digits than its factorization.

10165978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 10165978240 in words is "ten billion, one hundred sixty-five million, nine hundred seventy-eight thousand, two hundred forty".