51475544380080 has 480 divisors, whose sum is σ = 183410184746880. Its totient is φ = 12910184939520.

The previous prime is 51475544379979. The next prime is 51475544380109. The reversal of 51475544380080 is 8008344557415.

It is a happy number.

51475544380080 is a `hidden beast` number, since 5 + 1 + 4 + 7 + 554 + 4 + 3 + 8 + 0 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51475544379999 and 51475544380026.

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, 3552725476 + ... + 3552739964.

It is an arithmetic number, because the mean of its divisors is an integer number (382104551556).

Almost surely, 2^{51475544380080} 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 51475544380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91705092373440).

51475544380080 is an abundant number, since it is smaller than the sum of its proper divisors (131934640366800).

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

51475544380080 is a wasteful number, since it uses less digits than its factorization.

51475544380080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18109 (or 18100 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 51475544380080 in words is "fifty-one trillion, four hundred seventy-five billion, five hundred forty-four million, three hundred eighty thousand, eighty".