51655828224 has 864 divisors, whose sum is σ = 194950506240. Its totient is φ = 11921817600.

The previous prime is 51655828207. The next prime is 51655828241. The reversal of 51655828224 is 42282855615.

It is an interprime number because it is at equal distance from previous prime (51655828207) and next prime (51655828241).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156059739 + ... + 156060069.

It is an arithmetic number, because the mean of its divisors is an integer number (225637160).

Almost surely, 2^51655828224 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 51655828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97475253120).

51655828224 is an abundant number, since it is smaller than the sum of its proper divisors (143294678016).

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

51655828224 is a wasteful number, since it uses less digits than its factorization.

51655828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 48.

The spelling of 51655828224 in words is "fifty-one billion, six hundred fifty-five million, eight hundred twenty-eight thousand, two hundred twenty-four".