87048959040 has 448 divisors, whose sum is σ = 324246240000. Its totient is φ = 21923758080.

The previous prime is 87048959029. The next prime is 87048959069. The reversal of 87048959040 is 4095984078.

87048959040 is a `hidden beast` number, since 8 + 7 + 0 + 4 + 8 + 9 + 590 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73707250 + ... + 73708430.

Almost surely, 2^87048959040 is an apocalyptic number.

87048959040 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 87048959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162123120000).

87048959040 is an abundant number, since it is smaller than the sum of its proper divisors (237197280960).

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

87048959040 is a wasteful number, since it uses less digits than its factorization.

87048959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 87048959040 in words is "eighty-seven billion, forty-eight million, nine hundred fifty-nine thousand, forty".