1900135385070 has 512 divisors, whose sum is σ = 5713792358400. Its totient is φ = 399012397056.

The previous prime is 1900135384993. The next prime is 1900135385081. The reversal of 1900135385070 is 705835310091.

It is a super-2 number, since 2×1900135385070² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 412801389 + ... + 412805991.

It is an arithmetic number, because the mean of its divisors is an integer number (11159750700).

Almost surely, 2^{1900135385070} is an apocalyptic number.

1900135385070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900135385070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856896179200).

1900135385070 is an abundant number, since it is smaller than the sum of its proper divisors (3813656973330).

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

1900135385070 is a wasteful number, since it uses less digits than its factorization.

1900135385070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804.

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 1900135385070 in words is "one trillion, nine hundred billion, one hundred thirty-five million, three hundred eighty-five thousand, seventy".