5406653534400 has 2688 divisors, whose sum is σ = 23018546718720. Its totient is φ = 1226244096000.

The previous prime is 5406653534371. The next prime is 5406653534459. The reversal of 5406653534400 is 44353566045.

5406653534400 is a `hidden beast` number, since 5 + 4 + 0 + 66 + 53 + 534 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25623950295 + ... + 25623950505.

It is an arithmetic number, because the mean of its divisors is an integer number (8563447440).

Almost surely, 2^{5406653534400} is an apocalyptic number.

5406653534400 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 5406653534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509273359360).

5406653534400 is an abundant number, since it is smaller than the sum of its proper divisors (17611893184320).

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

5406653534400 is a wasteful number, since it uses less digits than its factorization.

5406653534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 5406653534400 in words is "five trillion, four hundred six billion, six hundred fifty-three million, five hundred thirty-four thousand, four hundred".