1053545613120 has 4032 divisors, whose sum is σ = 5450267886336. Its totient is φ = 182821847040.

The previous prime is 1053545613119. The next prime is 1053545613173. The reversal of 1053545613120 is 213165453501.

1053545613120 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 545 + 61 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×1053545613120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12693320599 + ... + 12693320681.

It is an arithmetic number, because the mean of its divisors is an integer number (1351752948).

Almost surely, 2^{1053545613120} is an apocalyptic number.

1053545613120 is a gapful number since it is divisible by the number (10) 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 1053545613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725133943168).

1053545613120 is an abundant number, since it is smaller than the sum of its proper divisors (4396722273216).

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

1053545613120 is a wasteful number, since it uses less digits than its factorization.

1053545613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1053545613120 in words is "one trillion, fifty-three billion, five hundred forty-five million, six hundred thirteen thousand, one hundred twenty".