49837744763520 has 3072 divisors, whose sum is σ = 210026649600000. Its totient is φ = 9802892574720.

The previous prime is 49837744763509. The next prime is 49837744763629. The reversal of 49837744763520 is 2536744773894.

It is a super-2 number, since 2×49837744763520² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 334481508406 + ... + 334481508554.

It is an arithmetic number, because the mean of its divisors is an integer number (68368050000).

Almost surely, 2^{49837744763520} is an apocalyptic number.

49837744763520 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 49837744763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105013324800000).

49837744763520 is an abundant number, since it is smaller than the sum of its proper divisors (160188904836480).

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

49837744763520 is a wasteful number, since it uses less digits than its factorization.

49837744763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 69.

The spelling of 49837744763520 in words is "forty-nine trillion, eight hundred thirty-seven billion, seven hundred forty-four million, seven hundred sixty-three thousand, five hundred twenty".