48776999040 has 768 divisors, whose sum is σ = 219266870400. Its totient is φ = 10133544960.

The previous prime is 48776998999. The next prime is 48776999081. The reversal of 48776999040 is 4099967784.

48776999040 is a `hidden beast` number, since 487 + 7 + 69 + 9 + 90 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48776998999) and next prime (48776999081).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9311302 + ... + 9316538.

Almost surely, 2^48776999040 is an apocalyptic number.

48776999040 is a gapful number since it is divisible by the number (40) 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 48776999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109633435200).

48776999040 is an abundant number, since it is smaller than the sum of its proper divisors (170489871360).

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

48776999040 is a wasteful number, since it uses less digits than its factorization.

48776999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 48776999040 in words is "forty-eight billion, seven hundred seventy-six million, nine hundred ninety-nine thousand, forty".