67167040120050 has 384 divisors, whose sum is σ = 190266362173440. Its totient is φ = 15560510054400.

The previous prime is 67167040120049. The next prime is 67167040120057. The reversal of 67167040120050 is 5002104076176.

It is a super-2 number, since 2×67167040120050² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 67167040119990 and 67167040120008.

It is not an unprimeable number, because it can be changed into a prime (67167040120057) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6068025916 + ... + 6068036984.

It is an arithmetic number, because the mean of its divisors is an integer number (495485318160).

Almost surely, 2^{67167040120050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67167040120050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95133181086720).

67167040120050 is an abundant number, since it is smaller than the sum of its proper divisors (123099322053390).

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

67167040120050 is a wasteful number, since it uses less digits than its factorization.

67167040120050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13878 (or 13873 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 67167040120050 in words is "sixty-seven trillion, one hundred sixty-seven billion, forty million, one hundred twenty thousand, fifty".