260150940672 has 352 divisors, whose sum is σ = 829236621312. Its totient is φ = 70897238016.

The previous prime is 260150940601. The next prime is 260150940727. The reversal of 260150940672 is 276049051062.

It is a super-3 number, since 3×260150940672³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

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, 293292613 + ... + 293293499.

It is an arithmetic number, because the mean of its divisors is an integer number (2355785856).

Almost surely, 2^260150940672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260150940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414618310656).

260150940672 is an abundant number, since it is smaller than the sum of its proper divisors (569085680640).

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

260150940672 is a wasteful number, since it uses less digits than its factorization.

260150940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 260150940672 in words is "two hundred sixty billion, one hundred fifty million, nine hundred forty thousand, six hundred seventy-two".