157473290709504 has 1920 divisors, whose sum is σ = 593069556119040. Its totient is φ = 40381580574720.

The previous prime is 157473290709487. The next prime is 157473290709509. The reversal of 157473290709504 is 405907092374751.

157473290709504 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 7 + 32 + 90 + 7 + 0 + 9 + 504 = 666.

157473290709504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (157473290709509) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 537451503982 + ... + 537451504274.

It is an arithmetic number, because the mean of its divisors is an integer number (308890393812).

Almost surely, 2^{157473290709504} is an apocalyptic number.

157473290709504 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 157473290709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296534778059520).

157473290709504 is an abundant number, since it is smaller than the sum of its proper divisors (435596265409536).

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

157473290709504 is a wasteful number, since it uses less digits than its factorization.

157473290709504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 157473290709504 in words is "one hundred fifty-seven trillion, four hundred seventy-three billion, two hundred ninety million, seven hundred nine thousand, five hundred four".