5640152126400 has 336 divisors, whose sum is σ = 22429576558080. Its totient is φ = 1367309491200.

The previous prime is 5640152126383. The next prime is 5640152126563. The reversal of 5640152126400 is 46212510465.

5640152126400 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 1 + 5 + 2 + 1 + 2 + 640 + 0 = 666.

It is a super-2 number, since 2×5640152126400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 5459304 + ... + 6409703.

Almost surely, 2^{5640152126400} is an apocalyptic number.

5640152126400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5640152126400 is an abundant number, since it is smaller than the sum of its proper divisors (16789424431680).

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

5640152126400 is a wasteful number, since it uses less digits than its factorization.

5640152126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11869049 (or 11869028 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 5640152126400 its reverse (46212510465), we get a palindrome (5686364636865).

The spelling of 5640152126400 in words is "five trillion, six hundred forty billion, one hundred fifty-two million, one hundred twenty-six thousand, four hundred".