49697157888000 has 864 divisors, whose sum is σ = 208377439386480. Its totient is φ = 11359324569600.

The previous prime is 49697157887983. The next prime is 49697157888029. The reversal of 49697157888000 is 88875179694.

49697157888000 is a `hidden beast` number, since 49 + 6 + 9 + 7 + 1 + 578 + 8 + 8 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×49697157888000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 49697157888000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112675899 + ... + 113116101.

Almost surely, 2^{49697157888000} is an apocalyptic number.

49697157888000 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 49697157888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104188719693240).

49697157888000 is an abundant number, since it is smaller than the sum of its proper divisors (158680281498480).

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

49697157888000 is a wasteful number, since it uses less digits than its factorization.

49697157888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440260 (or 440220 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 49697157888000 in words is "forty-nine trillion, six hundred ninety-seven billion, one hundred fifty-seven million, eight hundred eighty-eight thousand".