107354426287680 has 1344 divisors, whose sum is σ = 450287075137536. Its totient is φ = 23119478784000.

The previous prime is 107354426287657. The next prime is 107354426287699. The reversal of 107354426287680 is 86782624453701.

107354426287680 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 54 + 426 + 2 + 87 + 6 + 80 = 666.

It is a super-2 number, since 2×107354426287680² (a number of 29 digits) contains 22 as substring.

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, 2310811012 + ... + 2310857468.

It is an arithmetic number, because the mean of its divisors is an integer number (335035026144).

Almost surely, 2^{107354426287680} is an apocalyptic number.

107354426287680 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 107354426287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225143537568768).

107354426287680 is an abundant number, since it is smaller than the sum of its proper divisors (342932648849856).

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

107354426287680 is a wasteful number, since it uses less digits than its factorization.

107354426287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46716 (or 46703 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 107354426287680 in words is "one hundred seven trillion, three hundred fifty-four billion, four hundred twenty-six million, two hundred eighty-seven thousand, six hundred eighty".