51433920000000 has 832 divisors, whose sum is σ = 190504254495360. Its totient is φ = 13713408000000.

The previous prime is 51433919999983. The next prime is 51433920000031. The reversal of 51433920000000 is 2933415.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8639997024 + ... + 8640002976.

It is an arithmetic number, because the mean of its divisors is an integer number (228971459730).

Almost surely, 2^{51433920000000} is an apocalyptic number.

51433920000000 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 51433920000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95252127247680).

51433920000000 is an abundant number, since it is smaller than the sum of its proper divisors (139070334495360).

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

51433920000000 is an frugal number, since it uses more digits than its factorization.

51433920000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 51433920000000 its reverse (2933415), we get a palindrome (51433922933415).

The spelling of 51433920000000 in words is "fifty-one trillion, four hundred thirty-three billion, nine hundred twenty million", and thus it is an aban number.