5251733276400 has 360 divisors, whose sum is σ = 20157357554880. Its totient is φ = 1257795164160.

The previous prime is 5251733276359. The next prime is 5251733276497. The reversal of 5251733276400 is 46723371525.

5251733276400 is a `hidden beast` number, since 5 + 2 + 5 + 173 + 3 + 2 + 76 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 215161 + ... + 3248039.

Almost surely, 2^{5251733276400} is an apocalyptic number.

5251733276400 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 5251733276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10078678777440).

5251733276400 is an abundant number, since it is smaller than the sum of its proper divisors (14905624278480).

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

5251733276400 is a wasteful number, since it uses less digits than its factorization.

5251733276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032953 (or 3032939 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 5251733276400 in words is "five trillion, two hundred fifty-one billion, seven hundred thirty-three million, two hundred seventy-six thousand, four hundred".