278964940800 has 1248 divisors, whose sum is σ = 1203999939072. Its totient is φ = 55301898240.

The previous prime is 278964940759. The next prime is 278964940841. The reversal of 278964940800 is 8049469872.

It is an interprime number because it is at equal distance from previous prime (278964940759) and next prime (278964940841).

It is a tau number, because it is divible by the number of its divisors (1248).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475238107 + ... + 475238693.

Almost surely, 2^278964940800 is an apocalyptic number.

278964940800 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 278964940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601999969536).

278964940800 is an abundant number, since it is smaller than the sum of its proper divisors (925034998272).

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

278964940800 is a wasteful number, since it uses less digits than its factorization.

278964940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 278964940800 in words is "two hundred seventy-eight billion, nine hundred sixty-four million, nine hundred forty thousand, eight hundred".