51653754880 has 480 divisors, whose sum is σ = 157218687360. Its totient is φ = 15948840960.

The previous prime is 51653754851. The next prime is 51653754899. The reversal of 51653754880 is 8845735615.

It is a super-2 number, since 2×51653754880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259847660 + ... + 1259847700.

It is an arithmetic number, because the mean of its divisors is an integer number (327538932).

Almost surely, 2^51653754880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51653754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78609343680).

51653754880 is an abundant number, since it is smaller than the sum of its proper divisors (105564932480).

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

51653754880 is an frugal number, since it uses more digits than its factorization.

51653754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 51653754880 in words is "fifty-one billion, six hundred fifty-three million, seven hundred fifty-four thousand, eight hundred eighty".