119888072640 has 1008 divisors, whose sum is σ = 513914562720. Its totient is φ = 25500303360.

The previous prime is 119888072627. The next prime is 119888072657. The reversal of 119888072640 is 46270888911.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×119888072640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163557714 + ... + 163558446.

Almost surely, 2^119888072640 is an apocalyptic number.

119888072640 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 119888072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256957281360).

119888072640 is an abundant number, since it is smaller than the sum of its proper divisors (394026490080).

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

119888072640 is a wasteful number, since it uses less digits than its factorization.

119888072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 119888072640 in words is "one hundred nineteen billion, eight hundred eighty-eight million, seventy-two thousand, six hundred forty".