87401825280 has 2640 divisors, whose sum is σ = 439131217536. Its totient is φ = 16349921280.

The previous prime is 87401825261. The next prime is 87401825293. The reversal of 87401825280 is 8252810478.

It is a happy number.

87401825280 is a `hidden beast` number, since 8 + 7 + 40 + 1 + 82 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3800079349 + ... + 3800079371.

Almost surely, 2^87401825280 is an apocalyptic number.

87401825280 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 87401825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219565608768).

87401825280 is an abundant number, since it is smaller than the sum of its proper divisors (351729392256).

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

87401825280 is a wasteful number, since it uses less digits than its factorization.

87401825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 87401825280 in words is "eighty-seven billion, four hundred one million, eight hundred twenty-five thousand, two hundred eighty".