6111006051000 has 128 divisors (see below), whose sum is σ = 19071120556800. Its totient is φ = 1629192924800.

The previous prime is 6111006050983. The next prime is 6111006051053. The reversal of 6111006051000 is 1506001116.

It is a super-2 number, since 2×6111006051000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11803579 + ... + 12310421.

It is an arithmetic number, because the mean of its divisors is an integer number (148993129350).

Almost surely, 2^{6111006051000} is an apocalyptic number.

6111006051000 is a gapful number since it is divisible by the number (60) 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 6111006051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535560278400).

6111006051000 is an abundant number, since it is smaller than the sum of its proper divisors (12960114505800).

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

6111006051000 is a wasteful number, since it uses less digits than its factorization.

6111006051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510886 (or 510872 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 6111006051000 in words is "six trillion, one hundred eleven billion, six million, fifty-one thousand".