1053892863000 has 640 divisors, whose sum is σ = 3784961157120. Its totient is φ = 273422822400.

The previous prime is 1053892862989. The next prime is 1053892863019. The reversal of 1053892863000 is 3682983501.

It is a happy number.

1053892863000 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 8 + 9 + 2 + 8 + 630 + 0 + 0 = 666.

It is a super-2 number, since 2×1053892863000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 545210034 + ... + 545211966.

It is an arithmetic number, because the mean of its divisors is an integer number (5914001808).

Almost surely, 2^{1053892863000} is an apocalyptic number.

1053892863000 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 1053892863000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892480578560).

1053892863000 is an abundant number, since it is smaller than the sum of its proper divisors (2731068294120).

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

1053892863000 is a wasteful number, since it uses less digits than its factorization.

1053892863000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1053892863000 in words is "one trillion, fifty-three billion, eight hundred ninety-two million, eight hundred sixty-three thousand".