87858422150400 has 2268 divisors, whose sum is σ = 377289167503360. Its totient is φ = 20175547392000.

The previous prime is 87858422150351. The next prime is 87858422150489. The reversal of 87858422150400 is 405122485878.

87858422150400 is a `hidden beast` number, since 8 + 7 + 8 + 5 + 8 + 4 + 221 + 5 + 0 + 400 = 666.

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

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 10726210305 + ... + 10726218495.

Almost surely, 2^{87858422150400} is an apocalyptic number.

87858422150400 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 87858422150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188644583751680).

87858422150400 is an abundant number, since it is smaller than the sum of its proper divisors (289430745352960).

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

87858422150400 is a wasteful number, since it uses less digits than its factorization.

87858422150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 87858422150400 in words is "eighty-seven trillion, eight hundred fifty-eight billion, four hundred twenty-two million, one hundred fifty thousand, four hundred".