278960945760 has 768 divisors, whose sum is σ = 1184130662400. Its totient is φ = 59915261952.

The previous prime is 278960945743. The next prime is 278960945773. The reversal of 278960945760 is 67549069872.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 72967209 + ... + 72971031.

It is an arithmetic number, because the mean of its divisors is an integer number (1541836800).

Almost surely, 2^278960945760 is an apocalyptic number.

278960945760 is a gapful number since it is divisible by the number (20) 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 278960945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592065331200).

278960945760 is an abundant number, since it is smaller than the sum of its proper divisors (905169716640).

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

278960945760 is a wasteful number, since it uses less digits than its factorization.

278960945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 278960945760 in words is "two hundred seventy-eight billion, nine hundred sixty million, nine hundred forty-five thousand, seven hundred sixty".