49270614681600 has 1728 divisors, whose sum is σ = 207451650369600. Its totient is φ = 11489110917120.

The previous prime is 49270614681599. The next prime is 49270614681689. The reversal of 49270614681600 is 618641607294.

49270614681600 is a `hidden beast` number, since 4 + 9 + 2 + 7 + 0 + 614 + 6 + 8 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×49270614681600² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3073067184 + ... + 3073083216.

Almost surely, 2^{49270614681600} is an apocalyptic number.

49270614681600 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 49270614681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103725825184800).

49270614681600 is an abundant number, since it is smaller than the sum of its proper divisors (158181035688000).

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

49270614681600 is a wasteful number, since it uses less digits than its factorization.

49270614681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16112 (or 16075 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 49270614681600 in words is "forty-nine trillion, two hundred seventy billion, six hundred fourteen million, six hundred eighty-one thousand, six hundred".