48877584000 has 1024 divisors, whose sum is σ = 201636864000. Its totient is φ = 10218700800.

The previous prime is 48877583977. The next prime is 48877584023. The reversal of 48877584000 is 48577884.

It is an interprime number because it is at equal distance from previous prime (48877583977) and next prime (48877584023).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245615901 + ... + 245616099.

It is an arithmetic number, because the mean of its divisors is an integer number (196911000).

Almost surely, 2^48877584000 is an apocalyptic number.

48877584000 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 48877584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100818432000).

48877584000 is an abundant number, since it is smaller than the sum of its proper divisors (152759280000).

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

48877584000 is a wasteful number, since it uses less digits than its factorization.

48877584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The spelling of 48877584000 in words is "forty-eight billion, eight hundred seventy-seven million, five hundred eighty-four thousand".