51702290403456 has 768 divisors, whose sum is σ = 180777595046400. Its totient is φ = 12937014558720.

The previous prime is 51702290403341. The next prime is 51702290403473. The reversal of 51702290403456 is 65430409220715.

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, 649657875 + ... + 649737453.

It is an arithmetic number, because the mean of its divisors is an integer number (235387493550).

Almost surely, 2^{51702290403456} is an apocalyptic number.

51702290403456 is a gapful number since it is divisible by the number (56) 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 51702290403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90388797523200).

51702290403456 is an abundant number, since it is smaller than the sum of its proper divisors (129075304642944).

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

51702290403456 is a wasteful number, since it uses less digits than its factorization.

51702290403456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79737 (or 79718 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 51702290403456 in words is "fifty-one trillion, seven hundred two billion, two hundred ninety million, four hundred three thousand, four hundred fifty-six".