49609915829760 has 640 divisors, whose sum is σ = 186571378667520. Its totient is φ = 11086744780800.

The previous prime is 49609915829723. The next prime is 49609915829791. The reversal of 49609915829760 is 6792851990694.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×49609915829760² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 835730961 + ... + 835790319.

It is an arithmetic number, because the mean of its divisors is an integer number (291517779168).

Almost surely, 2^{49609915829760} is an apocalyptic number.

49609915829760 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 49609915829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93285689333760).

49609915829760 is an abundant number, since it is smaller than the sum of its proper divisors (136961462837760).

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

49609915829760 is a wasteful number, since it uses less digits than its factorization.

49609915829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60170 (or 60154 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 75.

The spelling of 49609915829760 in words is "forty-nine trillion, six hundred nine billion, nine hundred fifteen million, eight hundred twenty-nine thousand, seven hundred sixty".