51220375070040 has 512 divisors, whose sum is σ = 187965173376000. Its totient is φ = 12303606067200.

The previous prime is 51220375070023. The next prime is 51220375070063. The reversal of 51220375070040 is 4007057302215.

51220375070040 is a `hidden beast` number, since 512 + 2 + 0 + 3 + 75 + 0 + 70 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51220375069977 and 51220375070004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 597509262 + ... + 597594978.

It is an arithmetic number, because the mean of its divisors is an integer number (367119479250).

Almost surely, 2^{51220375070040} 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 51220375070040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93982586688000).

51220375070040 is an abundant number, since it is smaller than the sum of its proper divisors (136744798305960).

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

51220375070040 is a wasteful number, since it uses less digits than its factorization.

51220375070040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86208 (or 86198 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 51220375070040 in words is "fifty-one trillion, two hundred twenty billion, three hundred seventy-five million, seventy thousand, forty".