87662156400 has 1440 divisors, whose sum is σ = 394019225600. Its totient is φ = 17923368960.

The previous prime is 87662156359. The next prime is 87662156411. The reversal of 87662156400 is 465126678.

87662156400 is a `hidden beast` number, since 8 + 7 + 66 + 21 + 564 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 690253137 + ... + 690253263.

Almost surely, 2^87662156400 is an apocalyptic number.

87662156400 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 87662156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197009612800).

87662156400 is an abundant number, since it is smaller than the sum of its proper divisors (306357069200).

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

87662156400 is a wasteful number, since it uses less digits than its factorization.

87662156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 87662156400 in words is "eighty-seven billion, six hundred sixty-two million, one hundred fifty-six thousand, four hundred".