53813760000 has 1560 divisors, whose sum is σ = 245037237984. Its totient is φ = 10321920000.

The previous prime is 53813759977. The next prime is 53813760023. The reversal of 53813760000 is 6731835.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53813759977) and next prime (53813760023).

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4139519994 + ... + 4139520006.

Almost surely, 2^53813760000 is an apocalyptic number.

53813760000 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 53813760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122518618992).

53813760000 is an abundant number, since it is smaller than the sum of its proper divisors (191223477984).

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

53813760000 is a wasteful number, since it uses less digits than its factorization.

53813760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 53813760000 in words is "fifty-three billion, eight hundred thirteen million, seven hundred sixty thousand".