37552420192896 has 288 divisors, whose sum is σ = 126816056090100. Its totient is φ = 10634311876608.

The previous prime is 37552420192853. The next prime is 37552420192927. The reversal of 37552420192896 is 69829102425573.

37552420192896 is a `hidden beast` number, since 3 + 7 + 5 + 524 + 2 + 0 + 19 + 2 + 8 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35824247032896 + 1728173160000 = 5985336^2 + 1314600^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3435010 + ... + 9322238.

It is a 1-persistent number, because it is pandigital, but 2⋅37552420192896 = 75104840385792 is not.

Almost surely, 2^{37552420192896} is an apocalyptic number.

37552420192896 is a gapful number since it is divisible by the number (36) 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 37552420192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63408028045050).

37552420192896 is an abundant number, since it is smaller than the sum of its proper divisors (89263635897204).

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

37552420192896 is a wasteful number, since it uses less digits than its factorization.

37552420192896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887376 (or 5887354 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 37552420192896 in words is "thirty-seven trillion, five hundred fifty-two billion, four hundred twenty million, one hundred ninety-two thousand, eight hundred ninety-six".