157210084224 has 128 divisors (see below), whose sum is σ = 464251572000. Its totient is φ = 52373606400.

The previous prime is 157210084211. The next prime is 157210084237. The reversal of 157210084224 is 422480012751.

157210084224 is a `hidden beast` number, since 1 + 572 + 1 + 0 + 0 + 84 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (157210084211) and next prime (157210084237).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6557892 + ... + 6581820.

Almost surely, 2^157210084224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157210084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232125786000).

157210084224 is an abundant number, since it is smaller than the sum of its proper divisors (307041487776).

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

157210084224 is a wasteful number, since it uses less digits than its factorization.

157210084224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25853 (or 25835 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 157210084224 its reverse (422480012751), we get a palindrome (579690096975).

The spelling of 157210084224 in words is "one hundred fifty-seven billion, two hundred ten million, eighty-four thousand, two hundred twenty-four".