51399174237840 has 1600 divisors, whose sum is σ = 229228540434432. Its totient is φ = 10476026265600.

The previous prime is 51399174237833. The next prime is 51399174237893. The reversal of 51399174237840 is 4873247199315.

51399174237840 is a `hidden beast` number, since 5 + 1 + 3 + 99 + 17 + 423 + 78 + 40 = 666.

It is a super-2 number, since 2×51399174237840² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 488286654 + ... + 488391906.

Almost surely, 2^{51399174237840} 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 51399174237840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114614270217216).

51399174237840 is an abundant number, since it is smaller than the sum of its proper divisors (177829366196592).

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

51399174237840 is a wasteful number, since it uses less digits than its factorization.

51399174237840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105350 (or 105335 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 51399174237840 in words is "fifty-one trillion, three hundred ninety-nine billion, one hundred seventy-four million, two hundred thirty-seven thousand, eight hundred forty".