51540105937500 has 1536 divisors, whose sum is σ = 186353522933760. Its totient is φ = 12260160000000.

The previous prime is 51540105937499. The next prime is 51540105937511. The reversal of 51540105937500 is 573950104515.

51540105937500 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 0 + 1 + 0 + 593 + 7 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 297919687414 + ... + 297919687586.

It is an arithmetic number, because the mean of its divisors is an integer number (121323908160).

Almost surely, 2^{51540105937500} is an apocalyptic number.

51540105937500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51540105937500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93176761466880).

51540105937500 is an abundant number, since it is smaller than the sum of its proper divisors (134813416996260).

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

51540105937500 is a wasteful number, since it uses less digits than its factorization.

51540105937500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 51540105937500 in words is "fifty-one trillion, five hundred forty billion, one hundred five million, nine hundred thirty-seven thousand, five hundred".