5460511125600 has 2592 divisors, whose sum is σ = 23401427212800. Its totient is φ = 1235659898880.

The previous prime is 5460511125547. The next prime is 5460511125607. The reversal of 5460511125600 is 65211150645.

5460511125600 is a `hidden beast` number, since 5 + 4 + 60 + 511 + 1 + 25 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460511125607) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 27439754301 + ... + 27439754499.

It is an arithmetic number, because the mean of its divisors is an integer number (9028328400).

Almost surely, 2^{5460511125600} is an apocalyptic number.

5460511125600 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 5460511125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11700713606400).

5460511125600 is an abundant number, since it is smaller than the sum of its proper divisors (17940916087200).

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

5460511125600 is a wasteful number, since it uses less digits than its factorization.

5460511125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 5460511125600 in words is "five trillion, four hundred sixty billion, five hundred eleven million, one hundred twenty-five thousand, six hundred".