87333337722960 has 480 divisors, whose sum is σ = 346836293556480. Its totient is φ = 19268882841600.

The previous prime is 87333337722947. The next prime is 87333337722971. The reversal of 87333337722960 is 6922773333378.

87333337722960 is a `hidden beast` number, since 8 + 7 + 3 + 3 + 3 + 337 + 7 + 2 + 296 + 0 = 666.

It is a super-2 number, since 2×87333337722960² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 619794115 + ... + 619935005.

It is an arithmetic number, because the mean of its divisors is an integer number (722575611576).

Almost surely, 2^{87333337722960} is an apocalyptic number.

87333337722960 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 87333337722960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173418146778240).

87333337722960 is an abundant number, since it is smaller than the sum of its proper divisors (259502955833520).

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

87333337722960 is a wasteful number, since it uses less digits than its factorization.

87333337722960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145187 (or 145178 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 63.

The spelling of 87333337722960 in words is "eighty-seven trillion, three hundred thirty-three billion, three hundred thirty-seven million, seven hundred twenty-two thousand, nine hundred sixty".