48690171600 has 240 divisors, whose sum is σ = 178412771328. Its totient is φ = 11119173120.

The previous prime is 48690171589. The next prime is 48690171611. The reversal of 48690171600 is 617109684.

It is an interprime number because it is at equal distance from previous prime (48690171589) and next prime (48690171611).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13496997 + ... + 13500603.

Almost surely, 2^48690171600 is an apocalyptic number.

48690171600 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 48690171600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89206385664).

48690171600 is an abundant number, since it is smaller than the sum of its proper divisors (129722599728).

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

48690171600 is a wasteful number, since it uses less digits than its factorization.

48690171600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 48690171600 in words is "forty-eight billion, six hundred ninety million, one hundred seventy-one thousand, six hundred".