51949614356640 has 2592 divisors, whose sum is σ = 248143651571088. Its totient is φ = 9799734067200.

The previous prime is 51949614356623. The next prime is 51949614356641. The reversal of 51949614356640 is 4665341694915.

It is a happy number.

51949614356640 is a `hidden beast` number, since 5 + 1 + 9 + 4 + 9 + 61 + 4 + 3 + 566 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4091056388496 + 47858557968144 = 2022636^2 + 6917988^2 .

It is a super-2 number, since 2×51949614356640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (51949614356641) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6770439844 + ... + 6770447516.

Almost surely, 2^{51949614356640} 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 51949614356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124071825785544).

51949614356640 is an abundant number, since it is smaller than the sum of its proper divisors (196194037214448).

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

51949614356640 is a wasteful number, since it uses less digits than its factorization.

51949614356640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7804 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 51949614356640 in words is "fifty-one trillion, nine hundred forty-nine billion, six hundred fourteen million, three hundred fifty-six thousand, six hundred forty".