1285457551020 has 1152 divisors, whose sum is σ = 4698117365760. Its totient is φ = 282036142080.

The previous prime is 1285457551019. The next prime is 1285457551033. The reversal of 1285457551020 is 201557545821.

It is a happy number.

1285457551020 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 4 + 575 + 51 + 0 + 20 = 666.

It is a super-2 number, since 2×1285457551020² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7101975330 + ... + 7101975510.

It is an arithmetic number, because the mean of its divisors is an integer number (4078226880).

Almost surely, 2^{1285457551020} is an apocalyptic number.

1285457551020 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 1285457551020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349058682880).

1285457551020 is an abundant number, since it is smaller than the sum of its proper divisors (3412659814740).

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

1285457551020 is a wasteful number, since it uses less digits than its factorization.

1285457551020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The spelling of 1285457551020 in words is "one trillion, two hundred eighty-five billion, four hundred fifty-seven million, five hundred fifty-one thousand, twenty".