32250505466880 has 880 divisors, whose sum is σ = 116695055030400. Its totient is φ = 8516647452672.

The previous prime is 32250505466863. The next prime is 32250505466903. The reversal of 32250505466880 is 8866450505223.

32250505466880 is a `hidden beast` number, since 3 + 2 + 2 + 50 + 50 + 5 + 466 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23592175957 + ... + 23592177323.

It is an arithmetic number, because the mean of its divisors is an integer number (132608017080).

Almost surely, 2^{32250505466880} is an apocalyptic number.

32250505466880 is a gapful number since it is divisible by the number (30) 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 32250505466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58347527515200).

32250505466880 is an abundant number, since it is smaller than the sum of its proper divisors (84444549563520).

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

32250505466880 is a wasteful number, since it uses less digits than its factorization.

32250505466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 32250505466880 in words is "thirty-two trillion, two hundred fifty billion, five hundred five million, four hundred sixty-six thousand, eight hundred eighty".