1285918920 has 192 divisors, whose sum is σ = 4910068800. Its totient is φ = 287746560.

The previous prime is 1285918901. The next prime is 1285918943. The reversal of 1285918920 is 298195821.

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 47 ways as a sum of consecutive naturals, for example, 38991 + ... + 63969.

It is an arithmetic number, because the mean of its divisors is an integer number (25573275).

Almost surely, 2^1285918920 is an apocalyptic number.

1285918920 is a gapful number since it is divisible by the number (10) 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 1285918920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455034400).

1285918920 is an abundant number, since it is smaller than the sum of its proper divisors (3624149880).

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

1285918920 is a wasteful number, since it uses less digits than its factorization.

1285918920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25020 (or 25013 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1285918920 is about 35859.7116552825. The cubic root of 1285918920 is about 1087.4380590959.

The spelling of 1285918920 in words is "one billion, two hundred eighty-five million, nine hundred eighteen thousand, nine hundred twenty".