38168126458560 has 1120 divisors, whose sum is σ = 160301683187712. Its totient is φ = 8435882557440.

The previous prime is 38168126458421. The next prime is 38168126458607. The reversal of 38168126458560 is 6585462186183.

38168126458560 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 8 + 1 + 2 + 64 + 5 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 10534948909 + ... + 10534952531.

Almost surely, 2^{38168126458560} is an apocalyptic number.

38168126458560 is a gapful number since it is divisible by the number (30) 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 38168126458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80150841593856).

38168126458560 is an abundant number, since it is smaller than the sum of its proper divisors (122133556729152).

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

38168126458560 is a wasteful number, since it uses less digits than its factorization.

38168126458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 38168126458560 in words is "thirty-eight trillion, one hundred sixty-eight billion, one hundred twenty-six million, four hundred fifty-eight thousand, five hundred sixty".