10055601055500 has 768 divisors, whose sum is σ = 40378377940992. Its totient is φ = 1876608000000.

The previous prime is 10055601055499. The next prime is 10055601055573. The reversal of 10055601055500 is 555010655001.

It is a super-2 number, since 2×10055601055500² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55465000 + ... + 55646000.

It is an arithmetic number, because the mean of its divisors is an integer number (52576012944).

Almost surely, 2^{10055601055500} is an apocalyptic number.

10055601055500 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 10055601055500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20189188970496).

10055601055500 is an abundant number, since it is smaller than the sum of its proper divisors (30322776885492).

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

10055601055500 is a wasteful number, since it uses less digits than its factorization.

10055601055500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181091 (or 181079 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 10055601055500 in words is "ten trillion, fifty-five billion, six hundred one million, fifty-five thousand, five hundred".