278165217120 has 576 divisors, whose sum is σ = 1041814545408. Its totient is φ = 61110374400.

The previous prime is 278165217107. The next prime is 278165217137. The reversal of 278165217120 is 21712561872.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 894421765 + ... + 894422075.

It is an arithmetic number, because the mean of its divisors is an integer number (1808705808).

Almost surely, 2^278165217120 is an apocalyptic number.

278165217120 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 278165217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520907272704).

278165217120 is an abundant number, since it is smaller than the sum of its proper divisors (763649328288).

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

278165217120 is a wasteful number, since it uses less digits than its factorization.

278165217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

Adding to 278165217120 its reverse (21712561872), we get a palindrome (299877778992).

The spelling of 278165217120 in words is "two hundred seventy-eight billion, one hundred sixty-five million, two hundred seventeen thousand, one hundred twenty".