51480505659840 has 224 divisors, whose sum is σ = 164992951378944. Its totient is φ = 13598617006080.

The previous prime is 51480505659811. The next prime is 51480505659841. The reversal of 51480505659840 is 4895650508415.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51480505659841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2155156377 + ... + 2155180263.

Almost surely, 2^{51480505659840} 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 51480505659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82496475689472).

51480505659840 is an abundant number, since it is smaller than the sum of its proper divisors (113512445719104).

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

51480505659840 is a wasteful number, since it uses less digits than its factorization.

51480505659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44995 (or 44985 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 60.

The spelling of 51480505659840 in words is "fifty-one trillion, four hundred eighty billion, five hundred five million, six hundred fifty-nine thousand, eight hundred forty".