107557849728 has 512 divisors, whose sum is σ = 370960128000. Its totient is φ = 30423444480.

The previous prime is 107557849639. The next prime is 107557849753. The reversal of 107557849728 is 827948755701.

107557849728 is a `hidden beast` number, since 1 + 0 + 7 + 55 + 78 + 497 + 28 = 666.

It is a super-2 number, since 2×107557849728² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 256701103 + ... + 256701521.

It is an arithmetic number, because the mean of its divisors is an integer number (724531500).

Almost surely, 2^107557849728 is an apocalyptic number.

107557849728 is a gapful number since it is divisible by the number (18) 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 107557849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185480064000).

107557849728 is an abundant number, since it is smaller than the sum of its proper divisors (263402278272).

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

107557849728 is an frugal number, since it uses more digits than its factorization.

107557849728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 63.

The spelling of 107557849728 in words is "one hundred seven billion, five hundred fifty-seven million, eight hundred forty-nine thousand, seven hundred twenty-eight".