157225467041280 has 1920 divisors, whose sum is σ = 653983963776000. Its totient is φ = 34459016232960.

The previous prime is 157225467041267. The next prime is 157225467041323. The reversal of 157225467041280 is 82140764522751.

157225467041280 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 2 + 546 + 7 + 0 + 4 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 56373418126 + ... + 56373420914.

It is an arithmetic number, because the mean of its divisors is an integer number (340616647800).

Almost surely, 2^{157225467041280} is an apocalyptic number.

157225467041280 is a gapful number since it is divisible by the number (10) 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 157225467041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326991981888000).

157225467041280 is an abundant number, since it is smaller than the sum of its proper divisors (496758496734720).

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

157225467041280 is a wasteful number, since it uses less digits than its factorization.

157225467041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 157225467041280 in words is "one hundred fifty-seven trillion, two hundred twenty-five billion, four hundred sixty-seven million, forty-one thousand, two hundred eighty".