51496473600 has 1056 divisors, whose sum is σ = 222597002880. Its totient is φ = 11501568000.

The previous prime is 51496473583. The next prime is 51496473617. The reversal of 51496473600 is 637469415.

51496473600 is a `hidden beast` number, since 514 + 9 + 6 + 4 + 73 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51496473583) and next prime (51496473617).

It is a tau number, because it is divible by the number of its divisors (1056).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98841340 + ... + 98841860.

Almost surely, 2^51496473600 is an apocalyptic number.

51496473600 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 51496473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111298501440).

51496473600 is an abundant number, since it is smaller than the sum of its proper divisors (171100529280).

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

51496473600 is a wasteful number, since it uses less digits than its factorization.

51496473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 51496473600 in words is "fifty-one billion, four hundred ninety-six million, four hundred seventy-three thousand, six hundred".