5155356326400 has 900 divisors, whose sum is σ = 22195731001158. Its totient is φ = 1178355548160.

The previous prime is 5155356326377. The next prime is 5155356326459. The reversal of 5155356326400 is 46236535515.

5155356326400 is a `hidden beast` number, since 5 + 1 + 5 + 5 + 3 + 5 + 632 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3625642508544 + 1529713817856 = 1904112^2 + 1236816^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50752462 + ... + 50853938.

Almost surely, 2^{5155356326400} is an apocalyptic number.

5155356326400 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 5155356326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11097865500579).

5155356326400 is an abundant number, since it is smaller than the sum of its proper divisors (17040374674758).

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

5155356326400 is a wasteful number, since it uses less digits than its factorization.

5155356326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101531 (or 101494 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 5155356326400 in words is "five trillion, one hundred fifty-five billion, three hundred fifty-six million, three hundred twenty-six thousand, four hundred".