281979074756960 has 144 divisors (see below), whose sum is σ = 775911258564624. Its totient is φ = 96557234715648.

The previous prime is 281979074756923. The next prime is 281979074757053. The reversal of 281979074756960 is 69657470979182.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16315334 + ... + 28812293.

It is an arithmetic number, because the mean of its divisors is an integer number (5388272628921).

Almost surely, 2^{281979074756960} is an apocalyptic number.

281979074756960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

281979074756960 is an abundant number, since it is smaller than the sum of its proper divisors (493932183807664).

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

281979074756960 is a wasteful number, since it uses less digits than its factorization.

281979074756960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45128453 (or 45128438 counting only the distinct ones).

The product of its (nonzero) digits is 2880541440, while the sum is 80.

The spelling of 281979074756960 in words is "two hundred eighty-one trillion, nine hundred seventy-nine billion, seventy-four million, seven hundred fifty-six thousand, nine hundred sixty".