266825351520 has 1152 divisors, whose sum is σ = 1177593790464. Its totient is φ = 53473001472.

The previous prime is 266825351489. The next prime is 266825351531. The reversal of 266825351520 is 25153528662.

266825351520 is a `hidden beast` number, since 2 + 6 + 6 + 82 + 53 + 515 + 2 + 0 = 666.

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

It is a congruent number.

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, 672103962 + ... + 672104358.

It is an arithmetic number, because the mean of its divisors is an integer number (1022216832).

Almost surely, 2^266825351520 is an apocalyptic number.

266825351520 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 266825351520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588796895232).

266825351520 is an abundant number, since it is smaller than the sum of its proper divisors (910768438944).

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

266825351520 is a wasteful number, since it uses less digits than its factorization.

266825351520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 266825351520 in words is "two hundred sixty-six billion, eight hundred twenty-five million, three hundred fifty-one thousand, five hundred twenty".