5370061446400 has 216 divisors, whose sum is σ = 15202437884480. Its totient is φ = 1839724462080.

The previous prime is 5370061446397. The next prime is 5370061446433. The reversal of 5370061446400 is 46441600735.

It is a super-2 number, since 2×5370061446400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 58059391 + ... + 58151809.

Almost surely, 2^{5370061446400} is an apocalyptic number.

5370061446400 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 5370061446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601218942240).

5370061446400 is an abundant number, since it is smaller than the sum of its proper divisors (9832376438080).

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

5370061446400 is a wasteful number, since it uses less digits than its factorization.

5370061446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93749 (or 93730 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 5370061446400 in words is "five trillion, three hundred seventy billion, sixty-one million, four hundred forty-six thousand, four hundred".