51105611000 has 128 divisors (see below), whose sum is σ = 126199944000. Its totient is φ = 19317312000.

The previous prime is 51105610991. The next prime is 51105611017. The reversal of 51105611000 is 11650115.

It is a super-2 number, since 2×51105611000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7995806 + ... + 8002194.

Almost surely, 2^51105611000 is an apocalyptic number.

51105611000 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 51105611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63099972000).

51105611000 is an abundant number, since it is smaller than the sum of its proper divisors (75094333000).

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

51105611000 is a wasteful number, since it uses less digits than its factorization.

51105611000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 51105611000 in words is "fifty-one billion, one hundred five million, six hundred eleven thousand".