1353214625700 has 288 divisors, whose sum is σ = 4778254172160. Its totient is φ = 289006502400.

The previous prime is 1353214625699. The next prime is 1353214625723. The reversal of 1353214625700 is 75264123531.

It is a super-2 number, since 2×1353214625700² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1529509 + ... + 2246291.

It is an arithmetic number, because the mean of its divisors is an integer number (16591160320).

Almost surely, 2^{1353214625700} is an apocalyptic number.

1353214625700 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 1353214625700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389127086080).

1353214625700 is an abundant number, since it is smaller than the sum of its proper divisors (3425039546460).

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

1353214625700 is a wasteful number, since it uses less digits than its factorization.

1353214625700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716867 (or 716860 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 1353214625700 in words is "one trillion, three hundred fifty-three billion, two hundred fourteen million, six hundred twenty-five thousand, seven hundred".