49972377600 has 576 divisors, whose sum is σ = 188711359200. Its totient is φ = 12952535040.

The previous prime is 49972377583. The next prime is 49972377613. The reversal of 49972377600 is 677327994.

49972377600 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 23 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51148312 + ... + 51149288.

Almost surely, 2^49972377600 is an apocalyptic number.

49972377600 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 49972377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94355679600).

49972377600 is an abundant number, since it is smaller than the sum of its proper divisors (138738981600).

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

49972377600 is a wasteful number, since it uses less digits than its factorization.

49972377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 49972377600 in words is "forty-nine billion, nine hundred seventy-two million, three hundred seventy-seven thousand, six hundred".