2753897000400 has 3600 divisors, whose sum is σ = 13468978930176. Its totient is φ = 532022722560.

The previous prime is 2753897000377. The next prime is 2753897000401. The reversal of 2753897000400 is 40007983572.

2753897000400 is a `hidden beast` number, since 2 + 7 + 538 + 9 + 70 + 0 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2753897000401) by changing a digit.

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 719 ways as a sum of consecutive naturals, for example, 16490401117 + ... + 16490401283.

Almost surely, 2^{2753897000400} is an apocalyptic number.

2753897000400 is a gapful number since it is divisible by the number (20) 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 2753897000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734489465088).

2753897000400 is an abundant number, since it is smaller than the sum of its proper divisors (10715081929776).

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

2753897000400 is a wasteful number, since it uses less digits than its factorization.

2753897000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2753897000400 in words is "two trillion, seven hundred fifty-three billion, eight hundred ninety-seven million, four hundred", and thus it is an aban number.