278960552640 has 2240 divisors, whose sum is σ = 1325584465920. Its totient is φ = 53976637440.

The previous prime is 278960552603. The next prime is 278960552677. The reversal of 278960552640 is 46255069872.

278960552640 is a `hidden beast` number, since 2 + 7 + 8 + 9 + 605 + 5 + 26 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (278960552603) and next prime (278960552677).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2708354829 + ... + 2708354931.

Almost surely, 2^278960552640 is an apocalyptic number.

278960552640 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 278960552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662792232960).

278960552640 is an abundant number, since it is smaller than the sum of its proper divisors (1046623913280).

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

278960552640 is a wasteful number, since it uses less digits than its factorization.

278960552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 278960552640 in words is "two hundred seventy-eight billion, nine hundred sixty million, five hundred fifty-two thousand, six hundred forty".