1053785700 has 180 divisors, whose sum is σ = 3726813552. Its totient is φ = 255441600.

The previous prime is 1053785699. The next prime is 1053785701. The reversal of 1053785700 is 75873501.

1053785700 is a `hidden beast` number, since 10 + 5 + 3 + 78 + 570 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1053785699) and next prime (1053785701).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1053785700² = 2220928603048980000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1053785701) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 83187 + ... + 95013.

Almost surely, 2^1053785700 is an apocalyptic number.

1053785700 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 1053785700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863406776).

1053785700 is an abundant number, since it is smaller than the sum of its proper divisors (2673027852).

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

1053785700 is a wasteful number, since it uses less digits than its factorization.

1053785700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11864 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1053785700 is about 32462.0655535041. The cubic root of 1053785700 is about 1017.6164065417.

The spelling of 1053785700 in words is "one billion, fifty-three million, seven hundred eighty-five thousand, seven hundred".