10055607169020 has 768 divisors, whose sum is σ = 36556763443200. Its totient is φ = 2010164428800.

The previous prime is 10055607169009. The next prime is 10055607169051. The reversal of 10055607169020 is 2096170655001.

10055607169020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10055607169020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1493477574 + ... + 1493484306.

It is an arithmetic number, because the mean of its divisors is an integer number (47599952400).

Almost surely, 2^{10055607169020} is an apocalyptic number.

10055607169020 is a gapful number since it is divisible by the number (10) 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 10055607169020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278381721600).

10055607169020 is an abundant number, since it is smaller than the sum of its proper divisors (26501156274180).

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

10055607169020 is a wasteful number, since it uses less digits than its factorization.

10055607169020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 10055607169020 in words is "ten trillion, fifty-five billion, six hundred seven million, one hundred sixty-nine thousand, twenty".