107428295520 has 384 divisors, whose sum is σ = 462769735680. Its totient is φ = 22666106880.

The previous prime is 107428295501. The next prime is 107428295531. The reversal of 107428295520 is 25592824701.

107428295520 is a `hidden beast` number, since 1 + 0 + 7 + 42 + 82 + 9 + 5 + 520 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256485 + ... + 529755.

It is an arithmetic number, because the mean of its divisors is an integer number (1205129520).

Almost surely, 2^107428295520 is an apocalyptic number.

107428295520 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 107428295520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231384867840).

107428295520 is an abundant number, since it is smaller than the sum of its proper divisors (355341440160).

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

107428295520 is a wasteful number, since it uses less digits than its factorization.

107428295520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273315 (or 273301 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 107428295520 in words is "one hundred seven billion, four hundred twenty-eight million, two hundred ninety-five thousand, five hundred twenty".