6451087104000 has 6144 divisors, whose sum is σ = 33911223091200. Its totient is φ = 1167851520000.

The previous prime is 6451087103947. The next prime is 6451087104019. The reversal of 6451087104000 is 4017801546.

It is a happy number.

6451087104000 is a `hidden beast` number, since 64 + 510 + 87 + 1 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 511 ways as a sum of consecutive naturals, for example, 208099583985 + ... + 208099584015.

It is an arithmetic number, because the mean of its divisors is an integer number (5519404800).

Almost surely, 2^{6451087104000} is an apocalyptic number.

6451087104000 is a gapful number since it is divisible by the number (60) 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 6451087104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955611545600).

6451087104000 is an abundant number, since it is smaller than the sum of its proper divisors (27460135987200).

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

6451087104000 is a wasteful number, since it uses less digits than its factorization.

6451087104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 6451087104000 in words is "six trillion, four hundred fifty-one billion, eighty-seven million, one hundred four thousand".