157276788480 has 576 divisors, whose sum is σ = 640420193280. Its totient is φ = 35803938816.

The previous prime is 157276788479. The next prime is 157276788523. The reversal of 157276788480 is 84887672751.

157276788480 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 76 + 7 + 88 + 480 = 666.

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 (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67010667 + ... + 67013013.

Almost surely, 2^157276788480 is an apocalyptic number.

157276788480 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 157276788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320210096640).

157276788480 is an abundant number, since it is smaller than the sum of its proper divisors (483143404800).

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

157276788480 is a wasteful number, since it uses less digits than its factorization.

157276788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 157276788480 in words is "one hundred fifty-seven billion, two hundred seventy-six million, seven hundred eighty-eight thousand, four hundred eighty".