107325654480 has 840 divisors, whose sum is σ = 419206981536. Its totient is φ = 25517099520.

The previous prime is 107325654463. The next prime is 107325654533. The reversal of 107325654480 is 84456523701.

107325654480 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 2 + 565 + 4 + 4 + 80 = 666.

It is a super-2 number, since 2×107325654480² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 472800127 + ... + 472800353.

Almost surely, 2^107325654480 is an apocalyptic number.

107325654480 is a gapful number since it is divisible by the number (10) 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 107325654480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209603490768).

107325654480 is an abundant number, since it is smaller than the sum of its proper divisors (311881327056).

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

107325654480 is a wasteful number, since it uses less digits than its factorization.

107325654480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 107325654480 in words is "one hundred seven billion, three hundred twenty-five million, six hundred fifty-four thousand, four hundred eighty".