1835401752900 has 135 divisors (see below), whose sum is σ = 5950042658791. Its totient is φ = 489407952960.

The previous prime is 1835401752889. The next prime is 1835401752907. The reversal of 1835401752900 is 92571045381.

The square root of 1835401752900 is 1354770.

It is a perfect power (a square), and thus also a powerful number.

1835401752900 is a `hidden beast` number, since 1 + 8 + 3 + 540 + 17 + 5 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 320611883076 + 1514789869824 = 566226^2 + 1230768^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1835401752907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 121921774 + ... + 121936826.

Almost surely, 2^{1835401752900} is an apocalyptic number.

1835401752900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1835401752900 is the 1354770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1835401752900

1835401752900 is an abundant number, since it is smaller than the sum of its proper divisors (4114640905891).

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

1835401752900 is an frugal number, since it uses more digits than its factorization.

1835401752900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30132 (or 15063 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1835401752900 in words is "one trillion, eight hundred thirty-five billion, four hundred one million, seven hundred fifty-two thousand, nine hundred".