10797594433164 has 768 divisors, whose sum is σ = 37127987527680. Its totient is φ = 2631678336000.

The previous prime is 10797594433159. The next prime is 10797594433177. The reversal of 10797594433164 is 46133449579701.

10797594433164 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 7 + 594 + 4 + 3 + 31 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 255 ways as a sum of consecutive naturals, for example, 3023687499 + ... + 3023691069.

It is an arithmetic number, because the mean of its divisors is an integer number (48343733760).

Almost surely, 2^{10797594433164} is an apocalyptic number.

10797594433164 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 10797594433164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18563993763840).

10797594433164 is an abundant number, since it is smaller than the sum of its proper divisors (26330393094516).

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

10797594433164 is a wasteful number, since it uses less digits than its factorization.

10797594433164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 10797594433164 in words is "ten trillion, seven hundred ninety-seven billion, five hundred ninety-four million, four hundred thirty-three thousand, one hundred sixty-four".