49758354000 has 640 divisors, whose sum is σ = 191784153600. Its totient is φ = 12286771200.

The previous prime is 49758353971. The next prime is 49758354029. The reversal of 49758354000 is 45385794.

It is an interprime number because it is at equal distance from previous prime (49758353971) and next prime (49758354029).

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61505596 + ... + 61506404.

It is an arithmetic number, because the mean of its divisors is an integer number (299662740).

Almost surely, 2^49758354000 is an apocalyptic number.

49758354000 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 49758354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95892076800).

49758354000 is an abundant number, since it is smaller than the sum of its proper divisors (142025799600).

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

49758354000 is a wasteful number, since it uses less digits than its factorization.

49758354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 49758354000 in words is "forty-nine billion, seven hundred fifty-eight million, three hundred fifty-four thousand".