49261132800 has 1584 divisors, whose sum is σ = 216058393600. Its totient is φ = 10948608000.

The previous prime is 49261132799. The next prime is 49261132807. The reversal of 49261132800 is 823116294.

49261132800 is a `hidden beast` number, since 4 + 9 + 2 + 611 + 32 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49261132807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1589068785 + ... + 1589068815.

Almost surely, 2^49261132800 is an apocalyptic number.

49261132800 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 49261132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108029196800).

49261132800 is an abundant number, since it is smaller than the sum of its proper divisors (166797260800).

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

49261132800 is a wasteful number, since it uses less digits than its factorization.

49261132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 49261132800 in words is "forty-nine billion, two hundred sixty-one million, one hundred thirty-two thousand, eight hundred".