1053906286752 has 1536 divisors, whose sum is σ = 3876046110720. Its totient is φ = 276999782400.

The previous prime is 1053906286739. The next prime is 1053906286819. The reversal of 1053906286752 is 2576826093501.

1053906286752 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 9 + 0 + 628 + 6 + 7 + 5 + 2 = 666.

1053906286752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053906286752² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22423537993 + ... + 22423538039.

It is an arithmetic number, because the mean of its divisors is an integer number (2523467520).

Almost surely, 2^{1053906286752} is an apocalyptic number.

1053906286752 is a gapful number since it is divisible by the number (12) 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 1053906286752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938023055360).

1053906286752 is an abundant number, since it is smaller than the sum of its proper divisors (2822139823968).

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

1053906286752 is a wasteful number, since it uses less digits than its factorization.

1053906286752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1053906286752 in words is "one trillion, fifty-three billion, nine hundred six million, two hundred eighty-six thousand, seven hundred fifty-two".