152687709780480 has 1600 divisors, whose sum is σ = 629926735680000. Its totient is φ = 34626330427392.

The previous prime is 152687709780469. The next prime is 152687709780481. The reversal of 152687709780480 is 84087907786251.

152687709780480 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 8 + 7 + 70 + 9 + 78 + 0 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 152687709780399 and 152687709780408.

It is not an unprimeable number, because it can be changed into a prime (152687709780481) 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, 164357060656 + ... + 164357061584.

It is an arithmetic number, because the mean of its divisors is an integer number (393704209800).

Almost surely, 2^{152687709780480} is an apocalyptic number.

152687709780480 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 152687709780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314963367840000).

152687709780480 is an abundant number, since it is smaller than the sum of its proper divisors (477239025899520).

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

152687709780480 is an equidigital number, since it uses as much as digits as its factorization.

152687709780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 152687709780480 in words is "one hundred fifty-two trillion, six hundred eighty-seven billion, seven hundred nine million, seven hundred eighty thousand, four hundred eighty".