7253493850800 has 600 divisors, whose sum is σ = 26849881979712. Its totient is φ = 1874327040000.

The previous prime is 7253493850789. The next prime is 7253493850829. The reversal of 7253493850800 is 80583943527.

7253493850800 is a `hidden beast` number, since 7 + 25 + 3 + 493 + 8 + 50 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×7253493850800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 153779220 + ... + 153826380.

Almost surely, 2^{7253493850800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7253493850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13424940989856).

7253493850800 is an abundant number, since it is smaller than the sum of its proper divisors (19596388128912).

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

7253493850800 is a wasteful number, since it uses less digits than its factorization.

7253493850800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47339 (or 47319 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 7253493850800 in words is "seven trillion, two hundred fifty-three billion, four hundred ninety-three million, eight hundred fifty thousand, eight hundred".