157425774476544 has 576 divisors, whose sum is σ = 533816682094080. Its totient is φ = 44828856483840.

The previous prime is 157425774476507. The next prime is 157425774476561. The reversal of 157425774476544 is 445674477524751.

It is a happy number.

157425774476544 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 2 + 5 + 7 + 7 + 4 + 4 + 76 + 544 = 666.

157425774476544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30983224084 + ... + 30983229164.

It is an arithmetic number, because the mean of its divisors is an integer number (926765073080).

Almost surely, 2^{157425774476544} is an apocalyptic number.

157425774476544 is a gapful number since it is divisible by the number (14) 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 157425774476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266908341047040).

157425774476544 is an abundant number, since it is smaller than the sum of its proper divisors (376390907617536).

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

157425774476544 is a wasteful number, since it uses less digits than its factorization.

157425774476544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7103 counting only the distinct ones).

The product of its digits is 3687936000, while the sum is 72.

The spelling of 157425774476544 in words is "one hundred fifty-seven trillion, four hundred twenty-five billion, seven hundred seventy-four million, four hundred seventy-six thousand, five hundred forty-four".