51475897440 has 1152 divisors, whose sum is σ = 214287897600. Its totient is φ = 11496038400.

The previous prime is 51475897379. The next prime is 51475897441. The reversal of 51475897440 is 4479857415.

51475897440 is a `hidden beast` number, since 5 + 14 + 7 + 589 + 7 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51475897441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 705149244 + ... + 705149316.

It is an arithmetic number, because the mean of its divisors is an integer number (186013800).

Almost surely, 2^51475897440 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 51475897440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107143948800).

51475897440 is an abundant number, since it is smaller than the sum of its proper divisors (162812000160).

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

51475897440 is a wasteful number, since it uses less digits than its factorization.

51475897440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 51475897440 in words is "fifty-one billion, four hundred seventy-five million, eight hundred ninety-seven thousand, four hundred forty".