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87276952015488 = 27322631043327611

87276952015488 has 192 divisors, whose sum is σ = 252136753577280. Its totient is φ = 28977872732160.

The previous prime is 87276952015469. The next prime is 87276952015493. The reversal of 87276952015488 is 88451025967278.

87276952015488 is a `hidden beast` number, since 8 + 7 + 2 + 7 + 6 + 9 + 520 + 15 + 4 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×872769520154882 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3160934803 + ... + 3160962413.

It is an arithmetic number, because the mean of its divisors is an integer number (1313212258215).

Almost surely, 287276952015488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87276952015488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126068376788640).

87276952015488 is an abundant number, since it is smaller than the sum of its proper divisors (164859801561792).

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

87276952015488 is a wasteful number, since it uses less digits than its factorization.

87276952015488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38327 (or 38312 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 87276952015488 in words is "eighty-seven trillion, two hundred seventy-six billion, nine hundred fifty-two million, fifteen thousand, four hundred eighty-eight".