838140060960 has 480 divisors, whose sum is σ = 3135931932672. Its totient is φ = 210444687360.

The previous prime is 838140060941. The next prime is 838140061039. The reversal of 838140060960 is 69060041838.

838140060960 is a `hidden beast` number, since 8 + 38 + 1 + 4 + 0 + 0 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×838140060960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14836929 + ... + 14893311.

Almost surely, 2^838140060960 is an apocalyptic number.

838140060960 is a gapful number since it is divisible by the number (80) 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 838140060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567965966336).

838140060960 is an abundant number, since it is smaller than the sum of its proper divisors (2297791871712).

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

838140060960 is a wasteful number, since it uses less digits than its factorization.

838140060960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56478 (or 56461 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 838140060960 in words is "eight hundred thirty-eight billion, one hundred forty million, sixty thousand, nine hundred sixty".