87095421231840 has 3072 divisors, whose sum is σ = 372184243200000. Its totient is φ = 19004330999808.

The previous prime is 87095421231827. The next prime is 87095421231869. The reversal of 87095421231840 is 4813212459078.

87095421231840 is a `hidden beast` number, since 8 + 7 + 0 + 9 + 542 + 12 + 3 + 1 + 84 + 0 = 666.

It is a super-2 number, since 2×87095421231840² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 799040561706 + ... + 799040561814.

It is an arithmetic number, because the mean of its divisors is an integer number (121153725000).

Almost surely, 2^{87095421231840} is an apocalyptic number.

87095421231840 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 87095421231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186092121600000).

87095421231840 is an abundant number, since it is smaller than the sum of its proper divisors (285088821968160).

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

87095421231840 is a wasteful number, since it uses less digits than its factorization.

87095421231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 87095421231840 in words is "eighty-seven trillion, ninety-five billion, four hundred twenty-one million, two hundred thirty-one thousand, eight hundred forty".