48295978598400 has 864 divisors, whose sum is σ = 172682930585088. Its totient is φ = 11839891046400.

The previous prime is 48295978598393. The next prime is 48295978598437. The reversal of 48295978598400 is 489587959284.

It is a super-2 number, since 2×48295978598400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

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, 39233125785 + ... + 39233127015.

It is an arithmetic number, because the mean of its divisors is an integer number (199864502992).

Almost surely, 2^{48295978598400} is an apocalyptic number.

48295978598400 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 48295978598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86341465292544).

48295978598400 is an abundant number, since it is smaller than the sum of its proper divisors (124386951986688).

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

48295978598400 is a wasteful number, since it uses less digits than its factorization.

48295978598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 78.

The spelling of 48295978598400 in words is "forty-eight trillion, two hundred ninety-five billion, nine hundred seventy-eight million, five hundred ninety-eight thousand, four hundred".