1023753640560 has 240 divisors, whose sum is σ = 3743780954112. Its totient is φ = 230704857600.

The previous prime is 1023753640543. The next prime is 1023753640589. The reversal of 1023753640560 is 650463573201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1023753640560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 221905 + ... + 1448015.

Almost surely, 2^{1023753640560} is an apocalyptic number.

1023753640560 is a gapful number since it is divisible by the number (10) 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 1023753640560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871890477056).

1023753640560 is an abundant number, since it is smaller than the sum of its proper divisors (2720027313552).

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

1023753640560 is a wasteful number, since it uses less digits than its factorization.

1023753640560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226212 (or 1226199 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 1023753640560 in words is "one trillion, twenty-three billion, seven hundred fifty-three million, six hundred forty thousand, five hundred sixty".