53777001600 has 960 divisors, whose sum is σ = 229744848960. Its totient is φ = 12133048320.

The previous prime is 53777001599. The next prime is 53777001601. The reversal of 53777001600 is 610077735.

It is an interprime number because it is at equal distance from previous prime (53777001599) and next prime (53777001601).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53777001601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 194140662 + ... + 194140938.

It is an arithmetic number, because the mean of its divisors is an integer number (239317551).

Almost surely, 2^53777001600 is an apocalyptic number.

53777001600 is a gapful number since it is divisible by the number (50) 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 53777001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114872424480).

53777001600 is an abundant number, since it is smaller than the sum of its proper divisors (175967847360).

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

53777001600 is a wasteful number, since it uses less digits than its factorization.

53777001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 53777001600 in words is "fifty-three billion, seven hundred seventy-seven million, one thousand, six hundred".