10166373504 has 384 divisors, whose sum is σ = 35366647680. Its totient is φ = 2846638080.

The previous prime is 10166373479. The next prime is 10166373509. The reversal of 10166373504 is 40537366101.

10166373504 is a `hidden beast` number, since 1 + 0 + 16 + 637 + 3 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10166373509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11539144 + ... + 11540024.

It is an arithmetic number, because the mean of its divisors is an integer number (92100645).

Almost surely, 2^10166373504 is an apocalyptic number.

10166373504 is a gapful number since it is divisible by the number (14) 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 10166373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683323840).

10166373504 is an abundant number, since it is smaller than the sum of its proper divisors (25200274176).

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

10166373504 is an frugal number, since it uses more digits than its factorization.

10166373504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10166373504 in words is "ten billion, one hundred sixty-six million, three hundred seventy-three thousand, five hundred four".