1055550506010 has 512 divisors, whose sum is σ = 3589063188480. Its totient is φ = 191343513600.

The previous prime is 1055550505993. The next prime is 1055550506051. The reversal of 1055550506010 is 106050555501.

1055550506010 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055550506010² (a number of 25 digits) contains 22 as substring.

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

It is a Curzon 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, 263030764 + ... + 263034776.

It is an arithmetic number, because the mean of its divisors is an integer number (7009889040).

Almost surely, 2^{1055550506010} is an apocalyptic number.

1055550506010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055550506010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794531594240).

1055550506010 is an abundant number, since it is smaller than the sum of its proper divisors (2533512682470).

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

1055550506010 is a wasteful number, since it uses less digits than its factorization.

1055550506010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534.

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

The spelling of 1055550506010 in words is "one trillion, fifty-five billion, five hundred fifty million, five hundred six thousand, ten".