35272125504 has 1008 divisors, whose sum is σ = 140013147456. Its totient is φ = 8360755200.

The previous prime is 35272125503. The next prime is 35272125509. The reversal of 35272125504 is 40552127253.

35272125504 is a `hidden beast` number, since 3 + 5 + 27 + 2 + 125 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35272125503) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 216393327 + ... + 216393489.

It is an arithmetic number, because the mean of its divisors is an integer number (138901932).

Almost surely, 2^35272125504 is an apocalyptic number.

35272125504 is a gapful number since it is divisible by the number (34) 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 35272125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70006573728).

35272125504 is an abundant number, since it is smaller than the sum of its proper divisors (104741021952).

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

35272125504 is a wasteful number, since it uses less digits than its factorization.

35272125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

It can be divided in two parts, 352721 and 25504, that added together give a square (378225 = 615²).

The spelling of 35272125504 in words is "thirty-five billion, two hundred seventy-two million, one hundred twenty-five thousand, five hundred four".