7282951087104 has 2112 divisors, whose sum is σ = 28456497119232. Its totient is φ = 1805923123200.

The previous prime is 7282951087091. The next prime is 7282951087121. The reversal of 7282951087104 is 4017801592827.

7282951087104 is a `hidden beast` number, since 7 + 28 + 29 + 510 + 87 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

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, 57346071489 + ... + 57346071615.

Almost surely, 2^{7282951087104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7282951087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228248559616).

7282951087104 is an abundant number, since it is smaller than the sum of its proper divisors (21173546032128).

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

7282951087104 is a wasteful number, since it uses less digits than its factorization.

7282951087104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 7282951087104 in words is "seven trillion, two hundred eighty-two billion, nine hundred fifty-one million, eighty-seven thousand, one hundred four".