49842457378560 has 2592 divisors, whose sum is σ = 229130262466560. Its totient is φ = 9775890432000.

The previous prime is 49842457378547. The next prime is 49842457378573. The reversal of 49842457378560 is 6587375424894.

49842457378560 is a `hidden beast` number, since 4 + 9 + 8 + 4 + 2 + 4 + 57 + 3 + 7 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (49842457378547) and next prime (49842457378573).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12401704231 + ... + 12401708249.

Almost surely, 2^{49842457378560} is an apocalyptic number.

49842457378560 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 49842457378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114565131233280).

49842457378560 is an abundant number, since it is smaller than the sum of its proper divisors (179287805088000).

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

49842457378560 is a wasteful number, since it uses less digits than its factorization.

49842457378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 49842457378560 in words is "forty-nine trillion, eight hundred forty-two billion, four hundred fifty-seven million, three hundred seventy-eight thousand, five hundred sixty".