10038161198592 has 400 divisors, whose sum is σ = 30898809505872. Its totient is φ = 3255498915840.

The previous prime is 10038161198581. The next prime is 10038161198623. The reversal of 10038161198592 is 29589116183001.

It is a happy number.

10038161198592 is a `hidden beast` number, since 1 + 0 + 0 + 38 + 1 + 6 + 1 + 19 + 8 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 372861292 + ... + 372888212.

Almost surely, 2^{10038161198592} is an apocalyptic number.

10038161198592 is a gapful number since it is divisible by the number (12) 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 10038161198592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449404752936).

10038161198592 is an abundant number, since it is smaller than the sum of its proper divisors (20860648307280).

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

10038161198592 is an frugal number, since it uses more digits than its factorization.

10038161198592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27003 (or 26963 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 10038161198592 in words is "ten trillion, thirty-eight billion, one hundred sixty-one million, one hundred ninety-eight thousand, five hundred ninety-two".