2796547538400 has 576 divisors, whose sum is σ = 11359468947456. Its totient is φ = 580559616000.

The previous prime is 2796547538377. The next prime is 2796547538413. The reversal of 2796547538400 is 48357456972.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216394339 + ... + 216407261.

It is an arithmetic number, because the mean of its divisors is an integer number (19721300256).

Almost surely, 2^{2796547538400} is an apocalyptic number.

2796547538400 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 2796547538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679734473728).

2796547538400 is an abundant number, since it is smaller than the sum of its proper divisors (8562921409056).

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

2796547538400 is a wasteful number, since it uses less digits than its factorization.

2796547538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14135 (or 14122 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 2796547538400 in words is "two trillion, seven hundred ninety-six billion, five hundred forty-seven million, five hundred thirty-eight thousand, four hundred".