5311925942400 has 3456 divisors, whose sum is σ = 25568523926400. Its totient is φ = 1024789708800.

The previous prime is 5311925942399. The next prime is 5311925942431. The reversal of 5311925942400 is 42495291135.

It is a happy number.

5311925942400 is a `hidden beast` number, since 5 + 3 + 1 + 19 + 2 + 594 + 2 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 33833923122 + ... + 33833923278.

Almost surely, 2^{5311925942400} is an apocalyptic number.

5311925942400 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 5311925942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12784261963200).

5311925942400 is an abundant number, since it is smaller than the sum of its proper divisors (20256597984000).

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

5311925942400 is a wasteful number, since it uses less digits than its factorization.

5311925942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 5311925942400 in words is "five trillion, three hundred eleven billion, nine hundred twenty-five million, nine hundred forty-two thousand, four hundred".