5153509670400 has 1440 divisors, whose sum is σ = 22764768586560. Its totient is φ = 1084190883840.

The previous prime is 5153509670399. The next prime is 5153509670437. The reversal of 5153509670400 is 40769053515.

5153509670400 is a `hidden beast` number, since 5 + 1 + 535 + 0 + 9 + 6 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 6216537186 + ... + 6216538014.

It is an arithmetic number, because the mean of its divisors is an integer number (15808867074).

Almost surely, 2^{5153509670400} is an apocalyptic number.

5153509670400 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 5153509670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11382384293280).

5153509670400 is an abundant number, since it is smaller than the sum of its proper divisors (17611258916160).

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

5153509670400 is a wasteful number, since it uses less digits than its factorization.

5153509670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 5153509670400 in words is "five trillion, one hundred fifty-three billion, five hundred nine million, six hundred seventy thousand, four hundred".