48199476060400 has 240 divisors, whose sum is σ = 136850475993088. Its totient is φ = 15964428672000.

The previous prime is 48199476060391. The next prime is 48199476060409. The reversal of 48199476060400 is 406067499184.

It is an interprime number because it is at equal distance from previous prime (48199476060391) and next prime (48199476060409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48199476060409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49076554 + ... + 50049046.

Almost surely, 2^{48199476060400} is an apocalyptic number.

48199476060400 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 48199476060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68425237996544).

48199476060400 is an abundant number, since it is smaller than the sum of its proper divisors (88650999932688).

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

48199476060400 is a wasteful number, since it uses less digits than its factorization.

48199476060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973120 (or 973109 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 48199476060400 in words is "forty-eight trillion, one hundred ninety-nine billion, four hundred seventy-six million, sixty thousand, four hundred".