37545250050 has 576 divisors, whose sum is σ = 130407653376. Its totient is φ = 7518873600.

The previous prime is 37545249977. The next prime is 37545250051. The reversal of 37545250050 is 5005254573.

37545250050 is a `hidden beast` number, since 3 + 7 + 54 + 52 + 500 + 50 = 666.

37545250050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 37545249987 and 37545250014.

It is not an unprimeable number, because it can be changed into a prime (37545250051) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 168364239 + ... + 168364461.

It is an arithmetic number, because the mean of its divisors is an integer number (226402176).

Almost surely, 2^37545250050 is an apocalyptic number.

37545250050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37545250050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65203826688).

37545250050 is an abundant number, since it is smaller than the sum of its proper divisors (92862403326).

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

37545250050 is a wasteful number, since it uses less digits than its factorization.

37545250050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The spelling of 37545250050 in words is "thirty-seven billion, five hundred forty-five million, two hundred fifty thousand, fifty".