49587310080 has 1200 divisors, whose sum is σ = 225383677200. Its totient is φ = 10303856640.

The previous prime is 49587310061. The next prime is 49587310099. The reversal of 49587310080 is 8001378594.

49587310080 is a `hidden beast` number, since 495 + 8 + 73 + 10 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (49587310061) and next prime (49587310099).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4507937275 + ... + 4507937285.

It is an arithmetic number, because the mean of its divisors is an integer number (187819731).

Almost surely, 2^49587310080 is an apocalyptic number.

49587310080 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 49587310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112691838600).

49587310080 is an abundant number, since it is smaller than the sum of its proper divisors (175796367120).

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

49587310080 is an frugal number, since it uses more digits than its factorization.

49587310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 49587310080 in words is "forty-nine billion, five hundred eighty-seven million, three hundred ten thousand, eighty".