51101763840 has 144 divisors (see below), whose sum is σ = 181340409600. Its totient is φ = 13627127808.

The previous prime is 51101763829. The next prime is 51101763877. The reversal of 51101763840 is 4836710115.

51101763840 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 17 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51101763840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51101763795 and 51101763804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704760 + ... + 773879.

It is an arithmetic number, because the mean of its divisors is an integer number (1259308400).

Almost surely, 2^51101763840 is an apocalyptic number.

It is an amenable number.

51101763840 is an abundant number, since it is smaller than the sum of its proper divisors (130238645760).

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

51101763840 is a wasteful number, since it uses less digits than its factorization.

51101763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478669 (or 1478649 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 51101763840 in words is "fifty-one billion, one hundred one million, seven hundred sixty-three thousand, eight hundred forty".