61283280960 has 1344 divisors, whose sum is σ = 263439371520. Its totient is φ = 12881756160.

The previous prime is 61283280917. The next prime is 61283281021. The reversal of 61283280960 is 6908238216.

61283280960 is a `hidden beast` number, since 6 + 1 + 283 + 280 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 542329864 + ... + 542329976.

Almost surely, 2^61283280960 is an apocalyptic number.

61283280960 is a gapful number since it is divisible by the number (60) 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 61283280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131719685760).

61283280960 is an abundant number, since it is smaller than the sum of its proper divisors (202156090560).

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

61283280960 is a wasteful number, since it uses less digits than its factorization.

61283280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 61283 and 280960, that added together give a palindrome (342243).

The spelling of 61283280960 in words is "sixty-one billion, two hundred eighty-three million, two hundred eighty thousand, nine hundred sixty".