278908020480 has 144 divisors (see below), whose sum is σ = 891126964224. Its totient is φ = 74345041920.

The previous prime is 278908020467. The next prime is 278908020539. The reversal of 278908020480 is 84020809872.

It is a super-5 number, since 5×278908020480⁵ (a number of 58 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 10304565 + ... + 10331595.

It is an arithmetic number, because the mean of its divisors is an integer number (6188381696).

Almost surely, 2^278908020480 is an apocalyptic number.

278908020480 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 278908020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445563482112).

278908020480 is an abundant number, since it is smaller than the sum of its proper divisors (612218943744).

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

278908020480 is a wasteful number, since it uses less digits than its factorization.

278908020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29742 (or 29728 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 278908020480 in words is "two hundred seventy-eight billion, nine hundred eight million, twenty thousand, four hundred eighty".