1053770268096 has 896 divisors, whose sum is σ = 3961054003200. Its totient is φ = 267305287680.

The previous prime is 1053770268073. The next prime is 1053770268119. The reversal of 1053770268096 is 6908620773501.

1053770268096 is a `hidden beast` number, since 1 + 0 + 5 + 377 + 0 + 268 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1053770268073) and next prime (1053770268119).

It is a super-2 number, since 2×1053770268096² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 470642145 + ... + 470644383.

It is an arithmetic number, because the mean of its divisors is an integer number (4420819200).

Almost surely, 2^{1053770268096} is an apocalyptic number.

1053770268096 is a gapful number since it is divisible by the number (16) 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 1053770268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980527001600).

1053770268096 is an abundant number, since it is smaller than the sum of its proper divisors (2907283735104).

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

1053770268096 is a wasteful number, since it uses less digits than its factorization.

1053770268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1053770268096 in words is "one trillion, fifty-three billion, seven hundred seventy million, two hundred sixty-eight thousand, ninety-six".