55061105055000 has 960 divisors, whose sum is σ = 196508437171200. Its totient is φ = 12827337600000.

The previous prime is 55061105054987. The next prime is 55061105055013. The reversal of 55061105055000 is 55050116055.

It is an interprime number because it is at equal distance from previous prime (55061105054987) and next prime (55061105055013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11737602655 + ... + 11737607345.

It is an arithmetic number, because the mean of its divisors is an integer number (204696288720).

Almost surely, 2^{55061105055000} is an apocalyptic number.

55061105055000 is a gapful number since it is divisible by the number (50) 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 55061105055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98254218585600).

55061105055000 is an abundant number, since it is smaller than the sum of its proper divisors (141447332116200).

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

55061105055000 is a wasteful number, since it uses less digits than its factorization.

55061105055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4964 counting only the distinct ones).

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

The spelling of 55061105055000 in words is "fifty-five trillion, sixty-one billion, one hundred five million, fifty-five thousand".