87278928710400 has 2160 divisors, whose sum is σ = 379264745502720. Its totient is φ = 19389984768000.

The previous prime is 87278928710383. The next prime is 87278928710423. The reversal of 87278928710400 is 401782987278.

87278928710400 is a `hidden beast` number, since 8 + 7 + 2 + 78 + 92 + 8 + 71 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×87278928710400² (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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25753591906 + ... + 25753595294.

Almost surely, 2^{87278928710400} is an apocalyptic number.

87278928710400 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 87278928710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189632372751360).

87278928710400 is an abundant number, since it is smaller than the sum of its proper divisors (291985816792320).

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

87278928710400 is a wasteful number, since it uses less digits than its factorization.

87278928710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 87278928710400 in words is "eighty-seven trillion, two hundred seventy-eight billion, nine hundred twenty-eight million, seven hundred ten thousand, four hundred".