87510638292480 has 960 divisors, whose sum is σ = 348818541559488. Its totient is φ = 20084356546560.

The previous prime is 87510638292457. The next prime is 87510638292529. The reversal of 87510638292480 is 8429283601578.

87510638292480 is a `hidden beast` number, since 8 + 7 + 5 + 1 + 0 + 6 + 382 + 9 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×87510638292480² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 544746570 + ... + 544907190.

It is a 1-persistent number, because it is pandigital, but 2⋅87510638292480 = 175021276584960 is not.

Almost surely, 2^{87510638292480} is an apocalyptic number.

87510638292480 is a gapful number since it is divisible by the number (80) 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 87510638292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174409270779744).

87510638292480 is an abundant number, since it is smaller than the sum of its proper divisors (261307903267008).

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

87510638292480 is a wasteful number, since it uses less digits than its factorization.

87510638292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160787 (or 160768 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 87510638292480 in words is "eighty-seven trillion, five hundred ten billion, six hundred thirty-eight million, two hundred ninety-two thousand, four hundred eighty".