107527071960 has 1152 divisors, whose sum is σ = 482799320640. Its totient is φ = 20437401600.

The previous prime is 107527071919. The next prime is 107527072019. The reversal of 107527071960 is 69170725701.

107527071960 is a `hidden beast` number, since 107 + 527 + 0 + 7 + 19 + 6 + 0 = 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 287 ways as a sum of consecutive naturals, for example, 122050720 + ... + 122051600.

Almost surely, 2^107527071960 is an apocalyptic number.

107527071960 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 107527071960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241399660320).

107527071960 is an abundant number, since it is smaller than the sum of its proper divisors (375272248680).

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

107527071960 is a wasteful number, since it uses less digits than its factorization.

107527071960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 107527071960 in words is "one hundred seven billion, five hundred twenty-seven million, seventy-one thousand, nine hundred sixty".