87496128720 has 2400 divisors, whose sum is σ = 434483191296. Its totient is φ = 16024780800.

The previous prime is 87496128701. The next prime is 87496128721. The reversal of 87496128720 is 2782169478.

It is a happy number.

87496128720 is a `hidden beast` number, since 8 + 7 + 496 + 128 + 7 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87496128721) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 1861619737 + ... + 1861619783.

Almost surely, 2^87496128720 is an apocalyptic number.

87496128720 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 87496128720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217241595648).

87496128720 is an abundant number, since it is smaller than the sum of its proper divisors (346987062576).

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

87496128720 is a wasteful number, since it uses less digits than its factorization.

87496128720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 87496128720 in words is "eighty-seven billion, four hundred ninety-six million, one hundred twenty-eight thousand, seven hundred twenty".