3553505078976 has 672 divisors, whose sum is σ = 11749498675200. Its totient is φ = 1019375124480.

The previous prime is 3553505078911. The next prime is 3553505078983. The reversal of 3553505078976 is 6798705053553.

It is a happy number.

3553505078976 is a `hidden beast` number, since 3 + 5 + 5 + 3 + 50 + 507 + 8 + 9 + 76 = 666.

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, 3420119865 + ... + 3420120903.

Almost surely, 2^{3553505078976} is an apocalyptic number.

3553505078976 is a gapful number since it is divisible by the number (36) 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 3553505078976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874749337600).

3553505078976 is an abundant number, since it is smaller than the sum of its proper divisors (8195993596224).

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

3553505078976 is a wasteful number, since it uses less digits than its factorization.

3553505078976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 119070000, while the sum is 63.

The spelling of 3553505078976 in words is "three trillion, five hundred fifty-three billion, five hundred five million, seventy-eight thousand, nine hundred seventy-six".