51504012000 has 480 divisors, whose sum is σ = 216051675840. Its totient is φ = 11771827200.

The previous prime is 51504011989. The next prime is 51504012011. The reversal of 51504012000 is 21040515.

It is an interprime number because it is at equal distance from previous prime (51504011989) and next prime (51504012011).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×51504012000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2256646 + ... + 2279354.

It is an arithmetic number, because the mean of its divisors is an integer number (450107658).

Almost surely, 2^51504012000 is an apocalyptic number.

51504012000 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 51504012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108025837920).

51504012000 is an abundant number, since it is smaller than the sum of its proper divisors (164547663840).

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

51504012000 is a wasteful number, since it uses less digits than its factorization.

51504012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22753 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 51504012000 its reverse (21040515), we get a palindrome (51525052515).

The spelling of 51504012000 in words is "fifty-one billion, five hundred four million, twelve thousand".