157175484480 has 1120 divisors, whose sum is σ = 679786905600. Its totient is φ = 33672941568.

The previous prime is 157175484469. The next prime is 157175484481. The reversal of 157175484480 is 84484571751.

It is a happy number.

157175484480 is a `hidden beast` number, since 1 + 5 + 7 + 17 + 548 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (157175484481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 437814541 + ... + 437814899.

Almost surely, 2^157175484480 is an apocalyptic number.

157175484480 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 157175484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339893452800).

157175484480 is an abundant number, since it is smaller than the sum of its proper divisors (522611421120).

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

157175484480 is a wasteful number, since it uses less digits than its factorization.

157175484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

It can be divided in two parts, 15717548 and 4480, that added together give a triangular number (15722028 = T₅₆₀₇).

The spelling of 157175484480 in words is "one hundred fifty-seven billion, one hundred seventy-five million, four hundred eighty-four thousand, four hundred eighty".