22752038961900 has 360 divisors, whose sum is σ = 77753240869920. Its totient is φ = 5743585013760.

The previous prime is 22752038961859. The next prime is 22752038961959. The reversal of 22752038961900 is 916983025722.

22752038961900 is a `hidden beast` number, since 2 + 2 + 75 + 2 + 0 + 389 + 6 + 190 + 0 = 666.

It is a super-3 number, since 3×22752038961900³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 17441586 + ... + 18700614.

Almost surely, 2^{22752038961900} is an apocalyptic number.

22752038961900 is a gapful number since it is divisible by the number (20) 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 22752038961900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38876620434960).

22752038961900 is an abundant number, since it is smaller than the sum of its proper divisors (55001201908020).

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

22752038961900 is a wasteful number, since it uses less digits than its factorization.

22752038961900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259175 (or 1259159 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 22752038961900 in words is "twenty-two trillion, seven hundred fifty-two billion, thirty-eight million, nine hundred sixty-one thousand, nine hundred".