451252010880 has 1536 divisors, whose sum is σ = 1861413765120. Its totient is φ = 103464345600.

The previous prime is 451252010879. The next prime is 451252010893. The reversal of 451252010880 is 88010252154.

451252010880 is a `hidden beast` number, since 4 + 51 + 2 + 520 + 1 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3553165377 + ... + 3553165503.

It is an arithmetic number, because the mean of its divisors is an integer number (1211857920).

Almost surely, 2^451252010880 is an apocalyptic number.

451252010880 is a gapful number since it is divisible by the number (40) 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 451252010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930706882560).

451252010880 is an abundant number, since it is smaller than the sum of its proper divisors (1410161754240).

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

451252010880 is a wasteful number, since it uses less digits than its factorization.

451252010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 451252010880 in words is "four hundred fifty-one billion, two hundred fifty-two million, ten thousand, eight hundred eighty".